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Finding the Fourth Proportional to 1,449.39, 2,000.16 and 786.21

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Solution

The fourth proportional to 1,449.39, 2,000.16 and 786.21 is: 1,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.39 : 2,000.16 = 786.21 : x
  2. Step 2: Convert to fraction form
    1,449.39/2,000.16 = 786.21/x
  3. Step 3: Cross multiply
    1,449.39x = 2,000.16 × 786.21
  4. Step 4: Simplify right side
    1,449.39x = 1,572,545.79
  5. Step 5: Solve for x
    x = 1,572,545.79/1,449.39
  6. Step 6: Final answer
    x = 1,084.97

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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.