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Finding the Fourth Proportional to 960.32, 1,441.20 and 595.64

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Solution

The fourth proportional to 960.32, 1,441.20 and 595.64 is: 893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.32 : 1,441.20 = 595.64 : x
  2. Step 2: Convert to fraction form
    960.32/1,441.20 = 595.64/x
  3. Step 3: Cross multiply
    960.32x = 1,441.20 × 595.64
  4. Step 4: Simplify right side
    960.32x = 858,436.37
  5. Step 5: Solve for x
    x = 858,436.37/960.32
  6. Step 6: Final answer
    x = 893.91

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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.