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Finding the Fourth Proportional to 747.56, 1,031.64 and 437

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Solution

The fourth proportional to 747.56, 1,031.64 and 437 is: 603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.56 : 1,031.64 = 437 : x
  2. Step 2: Convert to fraction form
    747.56/1,031.64 = 437/x
  3. Step 3: Cross multiply
    747.56x = 1,031.64 × 437
  4. Step 4: Simplify right side
    747.56x = 450,826.68
  5. Step 5: Solve for x
    x = 450,826.68/747.56
  6. Step 6: Final answer
    x = 603.06

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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.