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Finding the Fourth Proportional to 1,449.75, 2,000.82 and 820.53

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Solution

The fourth proportional to 1,449.75, 2,000.82 and 820.53 is: 1,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.75 : 2,000.82 = 820.53 : x
  2. Step 2: Convert to fraction form
    1,449.75/2,000.82 = 820.53/x
  3. Step 3: Cross multiply
    1,449.75x = 2,000.82 × 820.53
  4. Step 4: Simplify right side
    1,449.75x = 1,641,732.83
  5. Step 5: Solve for x
    x = 1,641,732.83/1,449.75
  6. Step 6: Final answer
    x = 1,132.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.