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Finding the Fourth Proportional to 1,255.24, 1,732.20 and 695.76

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Solution

The fourth proportional to 1,255.24, 1,732.20 and 695.76 is: 960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.24 : 1,732.20 = 695.76 : x
  2. Step 2: Convert to fraction form
    1,255.24/1,732.20 = 695.76/x
  3. Step 3: Cross multiply
    1,255.24x = 1,732.20 × 695.76
  4. Step 4: Simplify right side
    1,255.24x = 1,205,195.47
  5. Step 5: Solve for x
    x = 1,205,195.47/1,255.24
  6. Step 6: Final answer
    x = 960.13

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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.