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Finding the Fourth Proportional to 1,007.25, 1,508.58 and 824.46

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Solution

The fourth proportional to 1,007.25, 1,508.58 and 824.46 is: 1,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.25 : 1,508.58 = 824.46 : x
  2. Step 2: Convert to fraction form
    1,007.25/1,508.58 = 824.46/x
  3. Step 3: Cross multiply
    1,007.25x = 1,508.58 × 824.46
  4. Step 4: Simplify right side
    1,007.25x = 1,243,763.87
  5. Step 5: Solve for x
    x = 1,243,763.87/1,007.25
  6. Step 6: Final answer
    x = 1,234.81

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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.