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Finding the Fourth Proportional to 932.07, 1,397.90 and 282.66

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Solution

The fourth proportional to 932.07, 1,397.90 and 282.66 is: 423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.07 : 1,397.90 = 282.66 : x
  2. Step 2: Convert to fraction form
    932.07/1,397.90 = 282.66/x
  3. Step 3: Cross multiply
    932.07x = 1,397.90 × 282.66
  4. Step 4: Simplify right side
    932.07x = 395,129.00
  5. Step 5: Solve for x
    x = 395,129.00/932.07
  6. Step 6: Final answer
    x = 423.93

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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.