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Finding the Fourth Proportional to 1,024.59, 1,414.49 and 706.02

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Solution

The fourth proportional to 1,024.59, 1,414.49 and 706.02 is: 974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.59 : 1,414.49 = 706.02 : x
  2. Step 2: Convert to fraction form
    1,024.59/1,414.49 = 706.02/x
  3. Step 3: Cross multiply
    1,024.59x = 1,414.49 × 706.02
  4. Step 4: Simplify right side
    1,024.59x = 998,654.70
  5. Step 5: Solve for x
    x = 998,654.70/1,024.59
  6. Step 6: Final answer
    x = 974.69

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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.