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Finding the Fourth Proportional to 1,164.18, 1,745.45 and 547.57

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Solution

The fourth proportional to 1,164.18, 1,745.45 and 547.57 is: 820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.18 : 1,745.45 = 547.57 : x
  2. Step 2: Convert to fraction form
    1,164.18/1,745.45 = 547.57/x
  3. Step 3: Cross multiply
    1,164.18x = 1,745.45 × 547.57
  4. Step 4: Simplify right side
    1,164.18x = 955,747.33
  5. Step 5: Solve for x
    x = 955,747.33/1,164.18
  6. Step 6: Final answer
    x = 820.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.