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Finding the Fourth Proportional to 781.56, 1,173.12 and 457.56

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Solution

The fourth proportional to 781.56, 1,173.12 and 457.56 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.56 : 1,173.12 = 457.56 : x
  2. Step 2: Convert to fraction form
    781.56/1,173.12 = 457.56/x
  3. Step 3: Cross multiply
    781.56x = 1,173.12 × 457.56
  4. Step 4: Simplify right side
    781.56x = 536,772.79
  5. Step 5: Solve for x
    x = 536,772.79/781.56
  6. Step 6: Final answer
    x = 686.80

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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.