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Finding the Fourth Proportional to 1,055.18, 1,581.96 and 644.42

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Solution

The fourth proportional to 1,055.18, 1,581.96 and 644.42 is: 966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.18 : 1,581.96 = 644.42 : x
  2. Step 2: Convert to fraction form
    1,055.18/1,581.96 = 644.42/x
  3. Step 3: Cross multiply
    1,055.18x = 1,581.96 × 644.42
  4. Step 4: Simplify right side
    1,055.18x = 1,019,446.66
  5. Step 5: Solve for x
    x = 1,019,446.66/1,055.18
  6. Step 6: Final answer
    x = 966.14

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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.