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Finding the Fourth Proportional to 1,079.60, 1,489.46 and 706.46

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Solution

The fourth proportional to 1,079.60, 1,489.46 and 706.46 is: 974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.60 : 1,489.46 = 706.46 : x
  2. Step 2: Convert to fraction form
    1,079.60/1,489.46 = 706.46/x
  3. Step 3: Cross multiply
    1,079.60x = 1,489.46 × 706.46
  4. Step 4: Simplify right side
    1,079.60x = 1,052,243.91
  5. Step 5: Solve for x
    x = 1,052,243.91/1,079.60
  6. Step 6: Final answer
    x = 974.66

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Why These Related Problems?

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