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Finding the Fourth Proportional to 1,255.36, 1,732.19 and 695.83

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Solution

The fourth proportional to 1,255.36, 1,732.19 and 695.83 is: 960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.36 : 1,732.19 = 695.83 : x
  2. Step 2: Convert to fraction form
    1,255.36/1,732.19 = 695.83/x
  3. Step 3: Cross multiply
    1,255.36x = 1,732.19 × 695.83
  4. Step 4: Simplify right side
    1,255.36x = 1,205,302.77
  5. Step 5: Solve for x
    x = 1,205,302.77/1,255.36
  6. Step 6: Final answer
    x = 960.12

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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.