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Finding the Fourth Proportional to 1,127.95, 1,691.73 and 306.12

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Solution

The fourth proportional to 1,127.95, 1,691.73 and 306.12 is: 459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.95 : 1,691.73 = 306.12 : x
  2. Step 2: Convert to fraction form
    1,127.95/1,691.73 = 306.12/x
  3. Step 3: Cross multiply
    1,127.95x = 1,691.73 × 306.12
  4. Step 4: Simplify right side
    1,127.95x = 517,872.39
  5. Step 5: Solve for x
    x = 517,872.39/1,127.95
  6. Step 6: Final answer
    x = 459.13

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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.