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Finding the Fourth Proportional to 1,472.59, 2,032.17 and 809.48

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Solution

The fourth proportional to 1,472.59, 2,032.17 and 809.48 is: 1,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.59 : 2,032.17 = 809.48 : x
  2. Step 2: Convert to fraction form
    1,472.59/2,032.17 = 809.48/x
  3. Step 3: Cross multiply
    1,472.59x = 2,032.17 × 809.48
  4. Step 4: Simplify right side
    1,472.59x = 1,644,993.85
  5. Step 5: Solve for x
    x = 1,644,993.85/1,472.59
  6. Step 6: Final answer
    x = 1,117.07

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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.