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Finding the Fourth Proportional to 872.24, 1,204.16 and 578.00

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Solution

The fourth proportional to 872.24, 1,204.16 and 578.00 is: 797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.24 : 1,204.16 = 578.00 : x
  2. Step 2: Convert to fraction form
    872.24/1,204.16 = 578.00/x
  3. Step 3: Cross multiply
    872.24x = 1,204.16 × 578.00
  4. Step 4: Simplify right side
    872.24x = 695,995.57
  5. Step 5: Solve for x
    x = 695,995.57/872.24
  6. Step 6: Final answer
    x = 797.95

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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.