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Finding the Fourth Proportional to 1,508.78, 2,263.23 and 779.78

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Solution

The fourth proportional to 1,508.78, 2,263.23 and 779.78 is: 1,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.78 : 2,263.23 = 779.78 : x
  2. Step 2: Convert to fraction form
    1,508.78/2,263.23 = 779.78/x
  3. Step 3: Cross multiply
    1,508.78x = 2,263.23 × 779.78
  4. Step 4: Simplify right side
    1,508.78x = 1,764,810.17
  5. Step 5: Solve for x
    x = 1,764,810.17/1,508.78
  6. Step 6: Final answer
    x = 1,169.70

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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.