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Finding the Fourth Proportional to 1,079.06, 1,489.59 and 686.61

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Solution

The fourth proportional to 1,079.06, 1,489.59 and 686.61 is: 947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.06 : 1,489.59 = 686.61 : x
  2. Step 2: Convert to fraction form
    1,079.06/1,489.59 = 686.61/x
  3. Step 3: Cross multiply
    1,079.06x = 1,489.59 × 686.61
  4. Step 4: Simplify right side
    1,079.06x = 1,022,767.39
  5. Step 5: Solve for x
    x = 1,022,767.39/1,079.06
  6. Step 6: Final answer
    x = 947.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.