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Finding the Fourth Proportional to 1,472.09, 2,031.49 and 808.95

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Solution

The fourth proportional to 1,472.09, 2,031.49 and 808.95 is: 1,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.09 : 2,031.49 = 808.95 : x
  2. Step 2: Convert to fraction form
    1,472.09/2,031.49 = 808.95/x
  3. Step 3: Cross multiply
    1,472.09x = 2,031.49 × 808.95
  4. Step 4: Simplify right side
    1,472.09x = 1,643,374.85
  5. Step 5: Solve for x
    x = 1,643,374.85/1,472.09
  6. Step 6: Final answer
    x = 1,116.36

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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.