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Finding the Fourth Proportional to 1,129.34, 1,693.98 and 1,098.56

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Solution

The fourth proportional to 1,129.34, 1,693.98 and 1,098.56 is: 1,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.34 : 1,693.98 = 1,098.56 : x
  2. Step 2: Convert to fraction form
    1,129.34/1,693.98 = 1,098.56/x
  3. Step 3: Cross multiply
    1,129.34x = 1,693.98 × 1,098.56
  4. Step 4: Simplify right side
    1,129.34x = 1,860,942.90
  5. Step 5: Solve for x
    x = 1,860,942.90/1,129.34
  6. Step 6: Final answer
    x = 1,647.81

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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.