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Finding the Fourth Proportional to 725.76, 999.14 and 676.76

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Solution

The fourth proportional to 725.76, 999.14 and 676.76 is: 931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.76 : 999.14 = 676.76 : x
  2. Step 2: Convert to fraction form
    725.76/999.14 = 676.76/x
  3. Step 3: Cross multiply
    725.76x = 999.14 × 676.76
  4. Step 4: Simplify right side
    725.76x = 676,169.61
  5. Step 5: Solve for x
    x = 676,169.61/725.76
  6. Step 6: Final answer
    x = 931.67

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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.