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Finding the Fourth Proportional to 1,449.66, 2,174.49 and 832.44

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Solution

The fourth proportional to 1,449.66, 2,174.49 and 832.44 is: 1,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.66 : 2,174.49 = 832.44 : x
  2. Step 2: Convert to fraction form
    1,449.66/2,174.49 = 832.44/x
  3. Step 3: Cross multiply
    1,449.66x = 2,174.49 × 832.44
  4. Step 4: Simplify right side
    1,449.66x = 1,810,132.46
  5. Step 5: Solve for x
    x = 1,810,132.46/1,449.66
  6. Step 6: Final answer
    x = 1,248.66

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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.