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Finding the Fourth Proportional to 1,076.07, 1,613.97 and 426.18

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Solution

The fourth proportional to 1,076.07, 1,613.97 and 426.18 is: 639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.07 : 1,613.97 = 426.18 : x
  2. Step 2: Convert to fraction form
    1,076.07/1,613.97 = 426.18/x
  3. Step 3: Cross multiply
    1,076.07x = 1,613.97 × 426.18
  4. Step 4: Simplify right side
    1,076.07x = 687,841.73
  5. Step 5: Solve for x
    x = 687,841.73/1,076.07
  6. Step 6: Final answer
    x = 639.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.