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Finding the Fourth Proportional to 1,077.18, 1,614.15 and 589.56

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Solution

The fourth proportional to 1,077.18, 1,614.15 and 589.56 is: 883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.18 : 1,614.15 = 589.56 : x
  2. Step 2: Convert to fraction form
    1,077.18/1,614.15 = 589.56/x
  3. Step 3: Cross multiply
    1,077.18x = 1,614.15 × 589.56
  4. Step 4: Simplify right side
    1,077.18x = 951,638.27
  5. Step 5: Solve for x
    x = 951,638.27/1,077.18
  6. Step 6: Final answer
    x = 883.45

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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.