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Finding the Fourth Proportional to 1,164.70, 1,607.34 and 745.42

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Solution

The fourth proportional to 1,164.70, 1,607.34 and 745.42 is: 1,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.70 : 1,607.34 = 745.42 : x
  2. Step 2: Convert to fraction form
    1,164.70/1,607.34 = 745.42/x
  3. Step 3: Cross multiply
    1,164.70x = 1,607.34 × 745.42
  4. Step 4: Simplify right side
    1,164.70x = 1,198,143.38
  5. Step 5: Solve for x
    x = 1,198,143.38/1,164.70
  6. Step 6: Final answer
    x = 1,028.71

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,165.70, 1,608.72 and 746.42
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.