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Finding the Fourth Proportional to 1,098.55, 1,647.89 and 662.77

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Solution

The fourth proportional to 1,098.55, 1,647.89 and 662.77 is: 994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.55 : 1,647.89 = 662.77 : x
  2. Step 2: Convert to fraction form
    1,098.55/1,647.89 = 662.77/x
  3. Step 3: Cross multiply
    1,098.55x = 1,647.89 × 662.77
  4. Step 4: Simplify right side
    1,098.55x = 1,092,172.06
  5. Step 5: Solve for x
    x = 1,092,172.06/1,098.55
  6. Step 6: Final answer
    x = 994.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.