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Finding the Fourth Proportional to 769.86, 1,153.66 and 457.20

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Solution

The fourth proportional to 769.86, 1,153.66 and 457.20 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.86 : 1,153.66 = 457.20 : x
  2. Step 2: Convert to fraction form
    769.86/1,153.66 = 457.20/x
  3. Step 3: Cross multiply
    769.86x = 1,153.66 × 457.20
  4. Step 4: Simplify right side
    769.86x = 527,453.35
  5. Step 5: Solve for x
    x = 527,453.35/769.86
  6. Step 6: Final answer
    x = 685.13

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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.