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Finding the Fourth Proportional to 1,079.42, 1,489.62 and 613.66

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Solution

The fourth proportional to 1,079.42, 1,489.62 and 613.66 is: 846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.42 : 1,489.62 = 613.66 : x
  2. Step 2: Convert to fraction form
    1,079.42/1,489.62 = 613.66/x
  3. Step 3: Cross multiply
    1,079.42x = 1,489.62 × 613.66
  4. Step 4: Simplify right side
    1,079.42x = 914,120.21
  5. Step 5: Solve for x
    x = 914,120.21/1,079.42
  6. Step 6: Final answer
    x = 846.86

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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.