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Finding the Fourth Proportional to 1,472.97, 2,032.64 and 809.78

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Solution

The fourth proportional to 1,472.97, 2,032.64 and 809.78 is: 1,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.97 : 2,032.64 = 809.78 : x
  2. Step 2: Convert to fraction form
    1,472.97/2,032.64 = 809.78/x
  3. Step 3: Cross multiply
    1,472.97x = 2,032.64 × 809.78
  4. Step 4: Simplify right side
    1,472.97x = 1,645,991.22
  5. Step 5: Solve for x
    x = 1,645,991.22/1,472.97
  6. Step 6: Final answer
    x = 1,117.46

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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.