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Finding the Fourth Proportional to 725.55, 1,082.74 and 647.69

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Solution

The fourth proportional to 725.55, 1,082.74 and 647.69 is: 966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.55 : 1,082.74 = 647.69 : x
  2. Step 2: Convert to fraction form
    725.55/1,082.74 = 647.69/x
  3. Step 3: Cross multiply
    725.55x = 1,082.74 × 647.69
  4. Step 4: Simplify right side
    725.55x = 701,271.97
  5. Step 5: Solve for x
    x = 701,271.97/725.55
  6. Step 6: Final answer
    x = 966.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.