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Finding the Fourth Proportional to 1,064.30, 1,469.41 and 728.77

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Solution

The fourth proportional to 1,064.30, 1,469.41 and 728.77 is: 1,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.30 : 1,469.41 = 728.77 : x
  2. Step 2: Convert to fraction form
    1,064.30/1,469.41 = 728.77/x
  3. Step 3: Cross multiply
    1,064.30x = 1,469.41 × 728.77
  4. Step 4: Simplify right side
    1,064.30x = 1,070,859.61
  5. Step 5: Solve for x
    x = 1,070,859.61/1,064.30
  6. Step 6: Final answer
    x = 1,006.16

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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.