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Finding the Fourth Proportional to 1,138.69, 1,571.42 and 745.72

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Solution

The fourth proportional to 1,138.69, 1,571.42 and 745.72 is: 1,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.69 : 1,571.42 = 745.72 : x
  2. Step 2: Convert to fraction form
    1,138.69/1,571.42 = 745.72/x
  3. Step 3: Cross multiply
    1,138.69x = 1,571.42 × 745.72
  4. Step 4: Simplify right side
    1,138.69x = 1,171,841.90
  5. Step 5: Solve for x
    x = 1,171,841.90/1,138.69
  6. Step 6: Final answer
    x = 1,029.11

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Half scale
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Double scale
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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.