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Finding the Fourth Proportional to 1,472.83, 2,032.56 and 809.75

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Solution

The fourth proportional to 1,472.83, 2,032.56 and 809.75 is: 1,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.83 : 2,032.56 = 809.75 : x
  2. Step 2: Convert to fraction form
    1,472.83/2,032.56 = 809.75/x
  3. Step 3: Cross multiply
    1,472.83x = 2,032.56 × 809.75
  4. Step 4: Simplify right side
    1,472.83x = 1,645,865.46
  5. Step 5: Solve for x
    x = 1,645,865.46/1,472.83
  6. Step 6: Final answer
    x = 1,117.49

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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.