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Finding the Fourth Proportional to 1,449.43, 2,000.24 and 786.31

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Solution

The fourth proportional to 1,449.43, 2,000.24 and 786.31 is: 1,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.43 : 2,000.24 = 786.31 : x
  2. Step 2: Convert to fraction form
    1,449.43/2,000.24 = 786.31/x
  3. Step 3: Cross multiply
    1,449.43x = 2,000.24 × 786.31
  4. Step 4: Simplify right side
    1,449.43x = 1,572,808.71
  5. Step 5: Solve for x
    x = 1,572,808.71/1,449.43
  6. Step 6: Final answer
    x = 1,085.12

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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.