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Finding the Fourth Proportional to 872.04, 1,306.62 and 578.88

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Solution

The fourth proportional to 872.04, 1,306.62 and 578.88 is: 867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.04 : 1,306.62 = 578.88 : x
  2. Step 2: Convert to fraction form
    872.04/1,306.62 = 578.88/x
  3. Step 3: Cross multiply
    872.04x = 1,306.62 × 578.88
  4. Step 4: Simplify right side
    872.04x = 756,376.19
  5. Step 5: Solve for x
    x = 756,376.19/872.04
  6. Step 6: Final answer
    x = 867.36

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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.