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Finding the Fourth Proportional to 960.24, 1,324.32 and 587.04

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Solution

The fourth proportional to 960.24, 1,324.32 and 587.04 is: 809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.24 : 1,324.32 = 587.04 : x
  2. Step 2: Convert to fraction form
    960.24/1,324.32 = 587.04/x
  3. Step 3: Cross multiply
    960.24x = 1,324.32 × 587.04
  4. Step 4: Simplify right side
    960.24x = 777,428.81
  5. Step 5: Solve for x
    x = 777,428.81/960.24
  6. Step 6: Final answer
    x = 809.62

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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.