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Finding the Fourth Proportional to 873.84, 1,309.82 and 411.33

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Solution

The fourth proportional to 873.84, 1,309.82 and 411.33 is: 616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.84 : 1,309.82 = 411.33 : x
  2. Step 2: Convert to fraction form
    873.84/1,309.82 = 411.33/x
  3. Step 3: Cross multiply
    873.84x = 1,309.82 × 411.33
  4. Step 4: Simplify right side
    873.84x = 538,766.20
  5. Step 5: Solve for x
    x = 538,766.20/873.84
  6. Step 6: Final answer
    x = 616.55

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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.