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Finding the Fourth Proportional to 1,582.96, 2,375.52 and 814

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Solution

The fourth proportional to 1,582.96, 2,375.52 and 814 is: 1,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.96 : 2,375.52 = 814 : x
  2. Step 2: Convert to fraction form
    1,582.96/2,375.52 = 814/x
  3. Step 3: Cross multiply
    1,582.96x = 2,375.52 × 814
  4. Step 4: Simplify right side
    1,582.96x = 1,933,673.28
  5. Step 5: Solve for x
    x = 1,933,673.28/1,582.96
  6. Step 6: Final answer
    x = 1,221.56

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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.