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Finding the Fourth Proportional to 1,098.41, 1,515.66 and 705.97

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Solution

The fourth proportional to 1,098.41, 1,515.66 and 705.97 is: 974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.41 : 1,515.66 = 705.97 : x
  2. Step 2: Convert to fraction form
    1,098.41/1,515.66 = 705.97/x
  3. Step 3: Cross multiply
    1,098.41x = 1,515.66 × 705.97
  4. Step 4: Simplify right side
    1,098.41x = 1,070,010.49
  5. Step 5: Solve for x
    x = 1,070,010.49/1,098.41
  6. Step 6: Final answer
    x = 974.14

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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.