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Finding the Fourth Proportional to 967.32, 1,452.92 and 578.08

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Solution

The fourth proportional to 967.32, 1,452.92 and 578.08 is: 868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.32 : 1,452.92 = 578.08 : x
  2. Step 2: Convert to fraction form
    967.32/1,452.92 = 578.08/x
  3. Step 3: Cross multiply
    967.32x = 1,452.92 × 578.08
  4. Step 4: Simplify right side
    967.32x = 839,903.99
  5. Step 5: Solve for x
    x = 839,903.99/967.32
  6. Step 6: Final answer
    x = 868.28

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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.