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Finding the Fourth Proportional to 932.38, 1,286.54 and 533.98

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Solution

The fourth proportional to 932.38, 1,286.54 and 533.98 is: 736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.38 : 1,286.54 = 533.98 : x
  2. Step 2: Convert to fraction form
    932.38/1,286.54 = 533.98/x
  3. Step 3: Cross multiply
    932.38x = 1,286.54 × 533.98
  4. Step 4: Simplify right side
    932.38x = 686,986.63
  5. Step 5: Solve for x
    x = 686,986.63/932.38
  6. Step 6: Final answer
    x = 736.81

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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.