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Finding the Fourth Proportional to 1,354.24, 1,867.20 and 960.96

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Solution

The fourth proportional to 1,354.24, 1,867.20 and 960.96 is: 1,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.24 : 1,867.20 = 960.96 : x
  2. Step 2: Convert to fraction form
    1,354.24/1,867.20 = 960.96/x
  3. Step 3: Cross multiply
    1,354.24x = 1,867.20 × 960.96
  4. Step 4: Simplify right side
    1,354.24x = 1,794,304.51
  5. Step 5: Solve for x
    x = 1,794,304.51/1,354.24
  6. Step 6: Final answer
    x = 1,324.95

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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.