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Finding the Fourth Proportional to 747.64, 1,031.42 and 511.20

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Solution

The fourth proportional to 747.64, 1,031.42 and 511.20 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.64 : 1,031.42 = 511.20 : x
  2. Step 2: Convert to fraction form
    747.64/1,031.42 = 511.20/x
  3. Step 3: Cross multiply
    747.64x = 1,031.42 × 511.20
  4. Step 4: Simplify right side
    747.64x = 527,261.90
  5. Step 5: Solve for x
    x = 527,261.90/747.64
  6. Step 6: Final answer
    x = 705.24

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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.