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Finding the Fourth Proportional to 1,654.24, 2,479.07 and 728.41

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Solution

The fourth proportional to 1,654.24, 2,479.07 and 728.41 is: 1,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.24 : 2,479.07 = 728.41 : x
  2. Step 2: Convert to fraction form
    1,654.24/2,479.07 = 728.41/x
  3. Step 3: Cross multiply
    1,654.24x = 2,479.07 × 728.41
  4. Step 4: Simplify right side
    1,654.24x = 1,805,775.74
  5. Step 5: Solve for x
    x = 1,805,775.74/1,654.24
  6. Step 6: Final answer
    x = 1,091.60

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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.