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Finding the Fourth Proportional to 1,079.88, 1,489.44 and 706.68

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Solution

The fourth proportional to 1,079.88, 1,489.44 and 706.68 is: 974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.88 : 1,489.44 = 706.68 : x
  2. Step 2: Convert to fraction form
    1,079.88/1,489.44 = 706.68/x
  3. Step 3: Cross multiply
    1,079.88x = 1,489.44 × 706.68
  4. Step 4: Simplify right side
    1,079.88x = 1,052,557.46
  5. Step 5: Solve for x
    x = 1,052,557.46/1,079.88
  6. Step 6: Final answer
    x = 974.70

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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.