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Finding the Fourth Proportional to 1,098.16, 1,647.68 and 660.24

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Solution

The fourth proportional to 1,098.16, 1,647.68 and 660.24 is: 990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.16 : 1,647.68 = 660.24 : x
  2. Step 2: Convert to fraction form
    1,098.16/1,647.68 = 660.24/x
  3. Step 3: Cross multiply
    1,098.16x = 1,647.68 × 660.24
  4. Step 4: Simplify right side
    1,098.16x = 1,087,860.94
  5. Step 5: Solve for x
    x = 1,087,860.94/1,098.16
  6. Step 6: Final answer
    x = 990.62

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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.