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Finding the Fourth Proportional to 873.84, 1,206.87 and 819.57

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Solution

The fourth proportional to 873.84, 1,206.87 and 819.57 is: 1,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.84 : 1,206.87 = 819.57 : x
  2. Step 2: Convert to fraction form
    873.84/1,206.87 = 819.57/x
  3. Step 3: Cross multiply
    873.84x = 1,206.87 × 819.57
  4. Step 4: Simplify right side
    873.84x = 989,114.45
  5. Step 5: Solve for x
    x = 989,114.45/873.84
  6. Step 6: Final answer
    x = 1,131.92

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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.