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Finding the Fourth Proportional to 1,006.80, 1,508.94 and 824.52

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Solution

The fourth proportional to 1,006.80, 1,508.94 and 824.52 is: 1,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.80 : 1,508.94 = 824.52 : x
  2. Step 2: Convert to fraction form
    1,006.80/1,508.94 = 824.52/x
  3. Step 3: Cross multiply
    1,006.80x = 1,508.94 × 824.52
  4. Step 4: Simplify right side
    1,006.80x = 1,244,151.21
  5. Step 5: Solve for x
    x = 1,244,151.21/1,006.80
  6. Step 6: Final answer
    x = 1,235.75

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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.