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Finding the Fourth Proportional to 960.05, 1,442.78 and 570.12

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Solution

The fourth proportional to 960.05, 1,442.78 and 570.12 is: 856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.05 : 1,442.78 = 570.12 : x
  2. Step 2: Convert to fraction form
    960.05/1,442.78 = 570.12/x
  3. Step 3: Cross multiply
    960.05x = 1,442.78 × 570.12
  4. Step 4: Simplify right side
    960.05x = 822,564.57
  5. Step 5: Solve for x
    x = 822,564.57/960.05
  6. Step 6: Final answer
    x = 856.79

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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.