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Finding the Fourth Proportional to 1,064.24, 1,469.33 and 728.70

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Solution

The fourth proportional to 1,064.24, 1,469.33 and 728.70 is: 1,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.24 : 1,469.33 = 728.70 : x
  2. Step 2: Convert to fraction form
    1,064.24/1,469.33 = 728.70/x
  3. Step 3: Cross multiply
    1,064.24x = 1,469.33 × 728.70
  4. Step 4: Simplify right side
    1,064.24x = 1,070,704.95
  5. Step 5: Solve for x
    x = 1,070,704.95/1,064.24
  6. Step 6: Final answer
    x = 1,006.07

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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.