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Finding the Fourth Proportional to 1,001.79, 1,493.85 and 932.55

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Solution

The fourth proportional to 1,001.79, 1,493.85 and 932.55 is: 1,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.79 : 1,493.85 = 932.55 : x
  2. Step 2: Convert to fraction form
    1,001.79/1,493.85 = 932.55/x
  3. Step 3: Cross multiply
    1,001.79x = 1,493.85 × 932.55
  4. Step 4: Simplify right side
    1,001.79x = 1,393,089.82
  5. Step 5: Solve for x
    x = 1,393,089.82/1,001.79
  6. Step 6: Final answer
    x = 1,390.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.