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Finding the Fourth Proportional to 1,098.39, 1,514.06 and 818.18

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Solution

The fourth proportional to 1,098.39, 1,514.06 and 818.18 is: 1,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.39 : 1,514.06 = 818.18 : x
  2. Step 2: Convert to fraction form
    1,098.39/1,514.06 = 818.18/x
  3. Step 3: Cross multiply
    1,098.39x = 1,514.06 × 818.18
  4. Step 4: Simplify right side
    1,098.39x = 1,238,773.61
  5. Step 5: Solve for x
    x = 1,238,773.61/1,098.39
  6. Step 6: Final answer
    x = 1,127.81

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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.