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Finding the Fourth Proportional to 986.86, 1,480.34 and 575.76

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Solution

The fourth proportional to 986.86, 1,480.34 and 575.76 is: 863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.86 : 1,480.34 = 575.76 : x
  2. Step 2: Convert to fraction form
    986.86/1,480.34 = 575.76/x
  3. Step 3: Cross multiply
    986.86x = 1,480.34 × 575.76
  4. Step 4: Simplify right side
    986.86x = 852,320.56
  5. Step 5: Solve for x
    x = 852,320.56/986.86
  6. Step 6: Final answer
    x = 863.67

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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.