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Finding the Fourth Proportional to 872.91, 1,309.50 and 410.67

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Solution

The fourth proportional to 872.91, 1,309.50 and 410.67 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.91 : 1,309.50 = 410.67 : x
  2. Step 2: Convert to fraction form
    872.91/1,309.50 = 410.67/x
  3. Step 3: Cross multiply
    872.91x = 1,309.50 × 410.67
  4. Step 4: Simplify right side
    872.91x = 537,772.37
  5. Step 5: Solve for x
    x = 537,772.37/872.91
  6. Step 6: Final answer
    x = 616.07

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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.