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Finding the Fourth Proportional to 1,098.48, 1,522.98 and 1,062.48

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Solution

The fourth proportional to 1,098.48, 1,522.98 and 1,062.48 is: 1,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.48 : 1,522.98 = 1,062.48 : x
  2. Step 2: Convert to fraction form
    1,098.48/1,522.98 = 1,062.48/x
  3. Step 3: Cross multiply
    1,098.48x = 1,522.98 × 1,062.48
  4. Step 4: Simplify right side
    1,098.48x = 1,618,135.79
  5. Step 5: Solve for x
    x = 1,618,135.79/1,098.48
  6. Step 6: Final answer
    x = 1,473.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.