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Finding the Fourth Proportional to 932.07, 1,397.72 and 347.11

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Solution

The fourth proportional to 932.07, 1,397.72 and 347.11 is: 520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.07 : 1,397.72 = 347.11 : x
  2. Step 2: Convert to fraction form
    932.07/1,397.72 = 347.11/x
  3. Step 3: Cross multiply
    932.07x = 1,397.72 × 347.11
  4. Step 4: Simplify right side
    932.07x = 485,153.87
  5. Step 5: Solve for x
    x = 485,153.87/932.07
  6. Step 6: Final answer
    x = 520.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.