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Finding the Fourth Proportional to 742.65, 1,113.57 and 589.56

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Solution

The fourth proportional to 742.65, 1,113.57 and 589.56 is: 884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.65 : 1,113.57 = 589.56 : x
  2. Step 2: Convert to fraction form
    742.65/1,113.57 = 589.56/x
  3. Step 3: Cross multiply
    742.65x = 1,113.57 × 589.56
  4. Step 4: Simplify right side
    742.65x = 656,516.33
  5. Step 5: Solve for x
    x = 656,516.33/742.65
  6. Step 6: Final answer
    x = 884.02

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Why These Related Problems?

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