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Finding the Fourth Proportional to 819.20, 1,127.84 and 778.24

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Solution

The fourth proportional to 819.20, 1,127.84 and 778.24 is: 1,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.20 : 1,127.84 = 778.24 : x
  2. Step 2: Convert to fraction form
    819.20/1,127.84 = 778.24/x
  3. Step 3: Cross multiply
    819.20x = 1,127.84 × 778.24
  4. Step 4: Simplify right side
    819.20x = 877,730.20
  5. Step 5: Solve for x
    x = 877,730.20/819.20
  6. Step 6: Final answer
    x = 1,071.45

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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.