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Finding the Fourth Proportional to 769.91, 1,155.88 and 458.13

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Solution

The fourth proportional to 769.91, 1,155.88 and 458.13 is: 687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.91 : 1,155.88 = 458.13 : x
  2. Step 2: Convert to fraction form
    769.91/1,155.88 = 458.13/x
  3. Step 3: Cross multiply
    769.91x = 1,155.88 × 458.13
  4. Step 4: Simplify right side
    769.91x = 529,543.67
  5. Step 5: Solve for x
    x = 529,543.67/769.91
  6. Step 6: Final answer
    x = 687.80

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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.