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Finding the Fourth Proportional to 982.77, 1,356.20 and 540.67

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Solution

The fourth proportional to 982.77, 1,356.20 and 540.67 is: 746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.77 : 1,356.20 = 540.67 : x
  2. Step 2: Convert to fraction form
    982.77/1,356.20 = 540.67/x
  3. Step 3: Cross multiply
    982.77x = 1,356.20 × 540.67
  4. Step 4: Simplify right side
    982.77x = 733,255.65
  5. Step 5: Solve for x
    x = 733,255.65/982.77
  6. Step 6: Final answer
    x = 746.11

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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.