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Finding the Fourth Proportional to 1,127.89, 1,691.56 and 306.23

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Solution

The fourth proportional to 1,127.89, 1,691.56 and 306.23 is: 459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.89 : 1,691.56 = 306.23 : x
  2. Step 2: Convert to fraction form
    1,127.89/1,691.56 = 306.23/x
  3. Step 3: Cross multiply
    1,127.89x = 1,691.56 × 306.23
  4. Step 4: Simplify right side
    1,127.89x = 517,996.43
  5. Step 5: Solve for x
    x = 517,996.43/1,127.89
  6. Step 6: Final answer
    x = 459.26

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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.