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Finding the Fourth Proportional to 1,098.38, 1,647.32 and 513.02

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Solution

The fourth proportional to 1,098.38, 1,647.32 and 513.02 is: 769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.38 : 1,647.32 = 513.02 : x
  2. Step 2: Convert to fraction form
    1,098.38/1,647.32 = 513.02/x
  3. Step 3: Cross multiply
    1,098.38x = 1,647.32 × 513.02
  4. Step 4: Simplify right side
    1,098.38x = 845,097.30
  5. Step 5: Solve for x
    x = 845,097.30/1,098.38
  6. Step 6: Final answer
    x = 769.41

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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.