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Finding the Fourth Proportional to 1,089.72, 1,635.18 and 918.42

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Solution

The fourth proportional to 1,089.72, 1,635.18 and 918.42 is: 1,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.72 : 1,635.18 = 918.42 : x
  2. Step 2: Convert to fraction form
    1,089.72/1,635.18 = 918.42/x
  3. Step 3: Cross multiply
    1,089.72x = 1,635.18 × 918.42
  4. Step 4: Simplify right side
    1,089.72x = 1,501,782.02
  5. Step 5: Solve for x
    x = 1,501,782.02/1,089.72
  6. Step 6: Final answer
    x = 1,378.14

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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.