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Finding the Fourth Proportional to 1,290.66, 1,780.34 and 824.91

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Solution

The fourth proportional to 1,290.66, 1,780.34 and 824.91 is: 1,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.66 : 1,780.34 = 824.91 : x
  2. Step 2: Convert to fraction form
    1,290.66/1,780.34 = 824.91/x
  3. Step 3: Cross multiply
    1,290.66x = 1,780.34 × 824.91
  4. Step 4: Simplify right side
    1,290.66x = 1,468,620.27
  5. Step 5: Solve for x
    x = 1,468,620.27/1,290.66
  6. Step 6: Final answer
    x = 1,137.88

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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.