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Finding the Fourth Proportional to 960.32, 1,325.22 and 562.07

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Solution

The fourth proportional to 960.32, 1,325.22 and 562.07 is: 775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.32 : 1,325.22 = 562.07 : x
  2. Step 2: Convert to fraction form
    960.32/1,325.22 = 562.07/x
  3. Step 3: Cross multiply
    960.32x = 1,325.22 × 562.07
  4. Step 4: Simplify right side
    960.32x = 744,859.78
  5. Step 5: Solve for x
    x = 744,859.78/960.32
  6. Step 6: Final answer
    x = 775.64

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Why These Related Problems?

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