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Finding the Fourth Proportional to 932.34, 1,286.37 and 534

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Solution

The fourth proportional to 932.34, 1,286.37 and 534 is: 736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.34 : 1,286.37 = 534 : x
  2. Step 2: Convert to fraction form
    932.34/1,286.37 = 534/x
  3. Step 3: Cross multiply
    932.34x = 1,286.37 × 534
  4. Step 4: Simplify right side
    932.34x = 686,921.58
  5. Step 5: Solve for x
    x = 686,921.58/932.34
  6. Step 6: Final answer
    x = 736.77

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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.