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Finding the Fourth Proportional to 872.86, 1,309.20 and 410.50

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Solution

The fourth proportional to 872.86, 1,309.20 and 410.50 is: 615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.86 : 1,309.20 = 410.50 : x
  2. Step 2: Convert to fraction form
    872.86/1,309.20 = 410.50/x
  3. Step 3: Cross multiply
    872.86x = 1,309.20 × 410.50
  4. Step 4: Simplify right side
    872.86x = 537,426.60
  5. Step 5: Solve for x
    x = 537,426.60/872.86
  6. Step 6: Final answer
    x = 615.71

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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.