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Finding the Fourth Proportional to 960.57, 1,441.31 and 473.36

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Solution

The fourth proportional to 960.57, 1,441.31 and 473.36 is: 710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.57 : 1,441.31 = 473.36 : x
  2. Step 2: Convert to fraction form
    960.57/1,441.31 = 473.36/x
  3. Step 3: Cross multiply
    960.57x = 1,441.31 × 473.36
  4. Step 4: Simplify right side
    960.57x = 682,248.93
  5. Step 5: Solve for x
    x = 682,248.93/960.57
  6. Step 6: Final answer
    x = 710.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.