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Finding the Fourth Proportional to 1,127.13, 1,686.59 and 686.79

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Solution

The fourth proportional to 1,127.13, 1,686.59 and 686.79 is: 1,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.13 : 1,686.59 = 686.79 : x
  2. Step 2: Convert to fraction form
    1,127.13/1,686.59 = 686.79/x
  3. Step 3: Cross multiply
    1,127.13x = 1,686.59 × 686.79
  4. Step 4: Simplify right side
    1,127.13x = 1,158,329.71
  5. Step 5: Solve for x
    x = 1,158,329.71/1,127.13
  6. Step 6: Final answer
    x = 1,027.68

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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.