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Finding the Fourth Proportional to 1,378.50, 1,902.65 and 819.28

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Solution

The fourth proportional to 1,378.50, 1,902.65 and 819.28 is: 1,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.50 : 1,902.65 = 819.28 : x
  2. Step 2: Convert to fraction form
    1,378.50/1,902.65 = 819.28/x
  3. Step 3: Cross multiply
    1,378.50x = 1,902.65 × 819.28
  4. Step 4: Simplify right side
    1,378.50x = 1,558,803.09
  5. Step 5: Solve for x
    x = 1,558,803.09/1,378.50
  6. Step 6: Final answer
    x = 1,130.80

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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.