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Finding the Fourth Proportional to 960.64, 1,441.84 and 473.92

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Solution

The fourth proportional to 960.64, 1,441.84 and 473.92 is: 711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.64 : 1,441.84 = 473.92 : x
  2. Step 2: Convert to fraction form
    960.64/1,441.84 = 473.92/x
  3. Step 3: Cross multiply
    960.64x = 1,441.84 × 473.92
  4. Step 4: Simplify right side
    960.64x = 683,316.81
  5. Step 5: Solve for x
    x = 683,316.81/960.64
  6. Step 6: Final answer
    x = 711.31

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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.