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Finding the Fourth Proportional to 1,340.76, 2,007.30 and 824.28

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Solution

The fourth proportional to 1,340.76, 2,007.30 and 824.28 is: 1,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.76 : 2,007.30 = 824.28 : x
  2. Step 2: Convert to fraction form
    1,340.76/2,007.30 = 824.28/x
  3. Step 3: Cross multiply
    1,340.76x = 2,007.30 × 824.28
  4. Step 4: Simplify right side
    1,340.76x = 1,654,577.24
  5. Step 5: Solve for x
    x = 1,654,577.24/1,340.76
  6. Step 6: Final answer
    x = 1,234.06

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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.