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Finding the Fourth Proportional to 1,215.71, 1,823.47 and 728.41

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Solution

The fourth proportional to 1,215.71, 1,823.47 and 728.41 is: 1,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.71 : 1,823.47 = 728.41 : x
  2. Step 2: Convert to fraction form
    1,215.71/1,823.47 = 728.41/x
  3. Step 3: Cross multiply
    1,215.71x = 1,823.47 × 728.41
  4. Step 4: Simplify right side
    1,215.71x = 1,328,227.40
  5. Step 5: Solve for x
    x = 1,328,227.40/1,215.71
  6. Step 6: Final answer
    x = 1,092.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.