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Finding the Fourth Proportional to 1,472.91, 2,032.57 and 809.70

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Solution

The fourth proportional to 1,472.91, 2,032.57 and 809.70 is: 1,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.91 : 2,032.57 = 809.70 : x
  2. Step 2: Convert to fraction form
    1,472.91/2,032.57 = 809.70/x
  3. Step 3: Cross multiply
    1,472.91x = 2,032.57 × 809.70
  4. Step 4: Simplify right side
    1,472.91x = 1,645,771.93
  5. Step 5: Solve for x
    x = 1,645,771.93/1,472.91
  6. Step 6: Final answer
    x = 1,117.36

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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.