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Finding the Fourth Proportional to 872.71, 1,309.07 and 324.25

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Solution

The fourth proportional to 872.71, 1,309.07 and 324.25 is: 486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.71 : 1,309.07 = 324.25 : x
  2. Step 2: Convert to fraction form
    872.71/1,309.07 = 324.25/x
  3. Step 3: Cross multiply
    872.71x = 1,309.07 × 324.25
  4. Step 4: Simplify right side
    872.71x = 424,465.95
  5. Step 5: Solve for x
    x = 424,465.95/872.71
  6. Step 6: Final answer
    x = 486.38

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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.