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Finding the Fourth Proportional to 1,127.55, 1,691.43 and 305.83

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Solution

The fourth proportional to 1,127.55, 1,691.43 and 305.83 is: 458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.55 : 1,691.43 = 305.83 : x
  2. Step 2: Convert to fraction form
    1,127.55/1,691.43 = 305.83/x
  3. Step 3: Cross multiply
    1,127.55x = 1,691.43 × 305.83
  4. Step 4: Simplify right side
    1,127.55x = 517,290.04
  5. Step 5: Solve for x
    x = 517,290.04/1,127.55
  6. Step 6: Final answer
    x = 458.77

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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.