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Finding the Fourth Proportional to 1,248.79, 1,723.20 and 724.93

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Solution

The fourth proportional to 1,248.79, 1,723.20 and 724.93 is: 1,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.79 : 1,723.20 = 724.93 : x
  2. Step 2: Convert to fraction form
    1,248.79/1,723.20 = 724.93/x
  3. Step 3: Cross multiply
    1,248.79x = 1,723.20 × 724.93
  4. Step 4: Simplify right side
    1,248.79x = 1,249,199.38
  5. Step 5: Solve for x
    x = 1,249,199.38/1,248.79
  6. Step 6: Final answer
    x = 1,000.33

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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.