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Finding the Fourth Proportional to 1,098.96, 1,517.04 and 820.08

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Solution

The fourth proportional to 1,098.96, 1,517.04 and 820.08 is: 1,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.96 : 1,517.04 = 820.08 : x
  2. Step 2: Convert to fraction form
    1,098.96/1,517.04 = 820.08/x
  3. Step 3: Cross multiply
    1,098.96x = 1,517.04 × 820.08
  4. Step 4: Simplify right side
    1,098.96x = 1,244,094.16
  5. Step 5: Solve for x
    x = 1,244,094.16/1,098.96
  6. Step 6: Final answer
    x = 1,132.07

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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.