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Finding the Fourth Proportional to 960.59, 1,441.20 and 473.60

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Solution

The fourth proportional to 960.59, 1,441.20 and 473.60 is: 710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.59 : 1,441.20 = 473.60 : x
  2. Step 2: Convert to fraction form
    960.59/1,441.20 = 473.60/x
  3. Step 3: Cross multiply
    960.59x = 1,441.20 × 473.60
  4. Step 4: Simplify right side
    960.59x = 682,552.32
  5. Step 5: Solve for x
    x = 682,552.32/960.59
  6. Step 6: Final answer
    x = 710.56

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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.