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Finding the Fourth Proportional to 1,098.02, 1,632.91 and 1,063.42

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Solution

The fourth proportional to 1,098.02, 1,632.91 and 1,063.42 is: 1,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.02 : 1,632.91 = 1,063.42 : x
  2. Step 2: Convert to fraction form
    1,098.02/1,632.91 = 1,063.42/x
  3. Step 3: Cross multiply
    1,098.02x = 1,632.91 × 1,063.42
  4. Step 4: Simplify right side
    1,098.02x = 1,736,469.15
  5. Step 5: Solve for x
    x = 1,736,469.15/1,098.02
  6. Step 6: Final answer
    x = 1,581.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.