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Finding the Fourth Proportional to 2,432.99, 3,648.17 and 766.80

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Solution

The fourth proportional to 2,432.99, 3,648.17 and 766.80 is: 1,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.99 : 3,648.17 = 766.80 : x
  2. Step 2: Convert to fraction form
    2,432.99/3,648.17 = 766.80/x
  3. Step 3: Cross multiply
    2,432.99x = 3,648.17 × 766.80
  4. Step 4: Simplify right side
    2,432.99x = 2,797,416.76
  5. Step 5: Solve for x
    x = 2,797,416.76/2,432.99
  6. Step 6: Final answer
    x = 1,149.79

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1.5x scale

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.