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Finding the Fourth Proportional to 1,472.09, 2,031.50 and 808.97

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Solution

The fourth proportional to 1,472.09, 2,031.50 and 808.97 is: 1,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.09 : 2,031.50 = 808.97 : x
  2. Step 2: Convert to fraction form
    1,472.09/2,031.50 = 808.97/x
  3. Step 3: Cross multiply
    1,472.09x = 2,031.50 × 808.97
  4. Step 4: Simplify right side
    1,472.09x = 1,643,408.35
  5. Step 5: Solve for x
    x = 1,643,408.35/1,472.09
  6. Step 6: Final answer
    x = 1,116.38

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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.