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Finding the Fourth Proportional to 747.63, 1,031.71 and 416.04

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Solution

The fourth proportional to 747.63, 1,031.71 and 416.04 is: 574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.63 : 1,031.71 = 416.04 : x
  2. Step 2: Convert to fraction form
    747.63/1,031.71 = 416.04/x
  3. Step 3: Cross multiply
    747.63x = 1,031.71 × 416.04
  4. Step 4: Simplify right side
    747.63x = 429,232.63
  5. Step 5: Solve for x
    x = 429,232.63/747.63
  6. Step 6: Final answer
    x = 574.12

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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.