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Finding the Fourth Proportional to 1,127.94, 1,691.73 and 306.27

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Solution

The fourth proportional to 1,127.94, 1,691.73 and 306.27 is: 459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.94 : 1,691.73 = 306.27 : x
  2. Step 2: Convert to fraction form
    1,127.94/1,691.73 = 306.27/x
  3. Step 3: Cross multiply
    1,127.94x = 1,691.73 × 306.27
  4. Step 4: Simplify right side
    1,127.94x = 518,126.15
  5. Step 5: Solve for x
    x = 518,126.15/1,127.94
  6. Step 6: Final answer
    x = 459.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.