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Finding the Fourth Proportional to 725.04, 1,085.57 and 677.66

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Solution

The fourth proportional to 725.04, 1,085.57 and 677.66 is: 1,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.04 : 1,085.57 = 677.66 : x
  2. Step 2: Convert to fraction form
    725.04/1,085.57 = 677.66/x
  3. Step 3: Cross multiply
    725.04x = 1,085.57 × 677.66
  4. Step 4: Simplify right side
    725.04x = 735,638.55
  5. Step 5: Solve for x
    x = 735,638.55/725.04
  6. Step 6: Final answer
    x = 1,014.62

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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.