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Finding the Fourth Proportional to 872.81, 1,204.48 and 578.13

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Solution

The fourth proportional to 872.81, 1,204.48 and 578.13 is: 797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.81 : 1,204.48 = 578.13 : x
  2. Step 2: Convert to fraction form
    872.81/1,204.48 = 578.13/x
  3. Step 3: Cross multiply
    872.81x = 1,204.48 × 578.13
  4. Step 4: Simplify right side
    872.81x = 696,343.13
  5. Step 5: Solve for x
    x = 696,343.13/872.81
  6. Step 6: Final answer
    x = 797.82

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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.