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Finding the Fourth Proportional to 747.77, 1,031.92 and 416.20

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Solution

The fourth proportional to 747.77, 1,031.92 and 416.20 is: 574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.77 : 1,031.92 = 416.20 : x
  2. Step 2: Convert to fraction form
    747.77/1,031.92 = 416.20/x
  3. Step 3: Cross multiply
    747.77x = 1,031.92 × 416.20
  4. Step 4: Simplify right side
    747.77x = 429,485.10
  5. Step 5: Solve for x
    x = 429,485.10/747.77
  6. Step 6: Final answer
    x = 574.35

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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.