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Finding the Fourth Proportional to 1,248.92, 1,723.53 and 689.43

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Solution

The fourth proportional to 1,248.92, 1,723.53 and 689.43 is: 951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.92 : 1,723.53 = 689.43 : x
  2. Step 2: Convert to fraction form
    1,248.92/1,723.53 = 689.43/x
  3. Step 3: Cross multiply
    1,248.92x = 1,723.53 × 689.43
  4. Step 4: Simplify right side
    1,248.92x = 1,188,248.76
  5. Step 5: Solve for x
    x = 1,188,248.76/1,248.92
  6. Step 6: Final answer
    x = 951.42

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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.