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Finding the Fourth Proportional to 781.80, 1,171.62 and 589.20

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Solution

The fourth proportional to 781.80, 1,171.62 and 589.20 is: 882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.80 : 1,171.62 = 589.20 : x
  2. Step 2: Convert to fraction form
    781.80/1,171.62 = 589.20/x
  3. Step 3: Cross multiply
    781.80x = 1,171.62 × 589.20
  4. Step 4: Simplify right side
    781.80x = 690,318.50
  5. Step 5: Solve for x
    x = 690,318.50/781.80
  6. Step 6: Final answer
    x = 882.99

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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.