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Finding the Fourth Proportional to 960.24, 1,325.18 and 567.48

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Solution

The fourth proportional to 960.24, 1,325.18 and 567.48 is: 783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.24 : 1,325.18 = 567.48 : x
  2. Step 2: Convert to fraction form
    960.24/1,325.18 = 567.48/x
  3. Step 3: Cross multiply
    960.24x = 1,325.18 × 567.48
  4. Step 4: Simplify right side
    960.24x = 752,014.57
  5. Step 5: Solve for x
    x = 752,014.57/960.24
  6. Step 6: Final answer
    x = 783.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.