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Finding the Fourth Proportional to 1,060.25, 1,588.68 and 712.30

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Solution

The fourth proportional to 1,060.25, 1,588.68 and 712.30 is: 1,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.25 : 1,588.68 = 712.30 : x
  2. Step 2: Convert to fraction form
    1,060.25/1,588.68 = 712.30/x
  3. Step 3: Cross multiply
    1,060.25x = 1,588.68 × 712.30
  4. Step 4: Simplify right side
    1,060.25x = 1,131,616.76
  5. Step 5: Solve for x
    x = 1,131,616.76/1,060.25
  6. Step 6: Final answer
    x = 1,067.31

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