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Finding the Fourth Proportional to 1,472.25, 2,031.74 and 809.08

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Solution

The fourth proportional to 1,472.25, 2,031.74 and 809.08 is: 1,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.25 : 2,031.74 = 809.08 : x
  2. Step 2: Convert to fraction form
    1,472.25/2,031.74 = 809.08/x
  3. Step 3: Cross multiply
    1,472.25x = 2,031.74 × 809.08
  4. Step 4: Simplify right side
    1,472.25x = 1,643,840.20
  5. Step 5: Solve for x
    x = 1,643,840.20/1,472.25
  6. Step 6: Final answer
    x = 1,116.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.