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Finding the Fourth Proportional to 725, 1,000.86 and 681.80

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Solution

The fourth proportional to 725, 1,000.86 and 681.80 is: 941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    725 : 1,000.86 = 681.80 : x
  2. Step 2: Convert to fraction form
    725/1,000.86 = 681.80/x
  3. Step 3: Cross multiply
    725x = 1,000.86 × 681.80
  4. Step 4: Simplify right side
    725x = 682,386.35
  5. Step 5: Solve for x
    x = 682,386.35/725
  6. Step 6: Final answer
    x = 941.22

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1.5x scale

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.