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Finding the Fourth Proportional to 1,116.17, 1,674.33 and 422.71

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Solution

The fourth proportional to 1,116.17, 1,674.33 and 422.71 is: 634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.17 : 1,674.33 = 422.71 : x
  2. Step 2: Convert to fraction form
    1,116.17/1,674.33 = 422.71/x
  3. Step 3: Cross multiply
    1,116.17x = 1,674.33 × 422.71
  4. Step 4: Simplify right side
    1,116.17x = 707,747.66
  5. Step 5: Solve for x
    x = 707,747.66/1,116.17
  6. Step 6: Final answer
    x = 634.09

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Double scale
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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.