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Finding the Fourth Proportional to 960.92, 1,442.46 and 571.76

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Solution

The fourth proportional to 960.92, 1,442.46 and 571.76 is: 858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.92 : 1,442.46 = 571.76 : x
  2. Step 2: Convert to fraction form
    960.92/1,442.46 = 571.76/x
  3. Step 3: Cross multiply
    960.92x = 1,442.46 × 571.76
  4. Step 4: Simplify right side
    960.92x = 824,740.93
  5. Step 5: Solve for x
    x = 824,740.93/960.92
  6. Step 6: Final answer
    x = 858.28

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