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Finding the Fourth Proportional to 1,472.49, 2,032.00 and 809.35

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Solution

The fourth proportional to 1,472.49, 2,032.00 and 809.35 is: 1,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.49 : 2,032.00 = 809.35 : x
  2. Step 2: Convert to fraction form
    1,472.49/2,032.00 = 809.35/x
  3. Step 3: Cross multiply
    1,472.49x = 2,032.00 × 809.35
  4. Step 4: Simplify right side
    1,472.49x = 1,644,592.10
  5. Step 5: Solve for x
    x = 1,644,592.10/1,472.49
  6. Step 6: Final answer
    x = 1,116.88

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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.