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Finding the Fourth Proportional to 872.50, 1,204.13 and 561.94

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Solution

The fourth proportional to 872.50, 1,204.13 and 561.94 is: 775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.50 : 1,204.13 = 561.94 : x
  2. Step 2: Convert to fraction form
    872.50/1,204.13 = 561.94/x
  3. Step 3: Cross multiply
    872.50x = 1,204.13 × 561.94
  4. Step 4: Simplify right side
    872.50x = 676,648.81
  5. Step 5: Solve for x
    x = 676,648.81/872.50
  6. Step 6: Final answer
    x = 775.53

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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.