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Finding the Fourth Proportional to 1,098.71, 1,640.22 and 1,060.26

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Solution

The fourth proportional to 1,098.71, 1,640.22 and 1,060.26 is: 1,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.71 : 1,640.22 = 1,060.26 : x
  2. Step 2: Convert to fraction form
    1,098.71/1,640.22 = 1,060.26/x
  3. Step 3: Cross multiply
    1,098.71x = 1,640.22 × 1,060.26
  4. Step 4: Simplify right side
    1,098.71x = 1,739,059.66
  5. Step 5: Solve for x
    x = 1,739,059.66/1,098.71
  6. Step 6: Final answer
    x = 1,582.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.