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Finding the Fourth Proportional to 747.17, 1,031.73 and 713.77

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Solution

The fourth proportional to 747.17, 1,031.73 and 713.77 is: 985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.17 : 1,031.73 = 713.77 : x
  2. Step 2: Convert to fraction form
    747.17/1,031.73 = 713.77/x
  3. Step 3: Cross multiply
    747.17x = 1,031.73 × 713.77
  4. Step 4: Simplify right side
    747.17x = 736,415.90
  5. Step 5: Solve for x
    x = 736,415.90/747.17
  6. Step 6: Final answer
    x = 985.61

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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.