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Finding the Fourth Proportional to 1,256.25, 1,732.98 and 808.20

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Solution

The fourth proportional to 1,256.25, 1,732.98 and 808.20 is: 1,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.25 : 1,732.98 = 808.20 : x
  2. Step 2: Convert to fraction form
    1,256.25/1,732.98 = 808.20/x
  3. Step 3: Cross multiply
    1,256.25x = 1,732.98 × 808.20
  4. Step 4: Simplify right side
    1,256.25x = 1,400,594.44
  5. Step 5: Solve for x
    x = 1,400,594.44/1,256.25
  6. Step 6: Final answer
    x = 1,114.90

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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.