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Finding the Fourth Proportional to 1,472.67, 2,032.33 and 809.53

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Solution

The fourth proportional to 1,472.67, 2,032.33 and 809.53 is: 1,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.67 : 2,032.33 = 809.53 : x
  2. Step 2: Convert to fraction form
    1,472.67/2,032.33 = 809.53/x
  3. Step 3: Cross multiply
    1,472.67x = 2,032.33 × 809.53
  4. Step 4: Simplify right side
    1,472.67x = 1,645,234.13
  5. Step 5: Solve for x
    x = 1,645,234.13/1,472.67
  6. Step 6: Final answer
    x = 1,117.18

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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.