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Finding the Fourth Proportional to 1,253.59, 1,729.76 and 781.41

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Solution

The fourth proportional to 1,253.59, 1,729.76 and 781.41 is: 1,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.59 : 1,729.76 = 781.41 : x
  2. Step 2: Convert to fraction form
    1,253.59/1,729.76 = 781.41/x
  3. Step 3: Cross multiply
    1,253.59x = 1,729.76 × 781.41
  4. Step 4: Simplify right side
    1,253.59x = 1,351,654.34
  5. Step 5: Solve for x
    x = 1,351,654.34/1,253.59
  6. Step 6: Final answer
    x = 1,078.22

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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.