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Finding the Fourth Proportional to 747.67, 1,031.81 and 416.10

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Solution

The fourth proportional to 747.67, 1,031.81 and 416.10 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.67 : 1,031.81 = 416.10 : x
  2. Step 2: Convert to fraction form
    747.67/1,031.81 = 416.10/x
  3. Step 3: Cross multiply
    747.67x = 1,031.81 × 416.10
  4. Step 4: Simplify right side
    747.67x = 429,336.14
  5. Step 5: Solve for x
    x = 429,336.14/747.67
  6. Step 6: Final answer
    x = 574.23

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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.