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Finding the Fourth Proportional to 1,098.54, 1,514.61 and 922.19

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Solution

The fourth proportional to 1,098.54, 1,514.61 and 922.19 is: 1,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.54 : 1,514.61 = 922.19 : x
  2. Step 2: Convert to fraction form
    1,098.54/1,514.61 = 922.19/x
  3. Step 3: Cross multiply
    1,098.54x = 1,514.61 × 922.19
  4. Step 4: Simplify right side
    1,098.54x = 1,396,750.62
  5. Step 5: Solve for x
    x = 1,396,750.62/1,098.54
  6. Step 6: Final answer
    x = 1,271.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.