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Finding the Fourth Proportional to 967.92, 1,448.28 and 578.13

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Solution

The fourth proportional to 967.92, 1,448.28 and 578.13 is: 865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.92 : 1,448.28 = 578.13 : x
  2. Step 2: Convert to fraction form
    967.92/1,448.28 = 578.13/x
  3. Step 3: Cross multiply
    967.92x = 1,448.28 × 578.13
  4. Step 4: Simplify right side
    967.92x = 837,294.12
  5. Step 5: Solve for x
    x = 837,294.12/967.92
  6. Step 6: Final answer
    x = 865.04

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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.