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Finding the Fourth Proportional to 982.38, 1,356.03 and 650.91

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Solution

The fourth proportional to 982.38, 1,356.03 and 650.91 is: 898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.38 : 1,356.03 = 650.91 : x
  2. Step 2: Convert to fraction form
    982.38/1,356.03 = 650.91/x
  3. Step 3: Cross multiply
    982.38x = 1,356.03 × 650.91
  4. Step 4: Simplify right side
    982.38x = 882,656.59
  5. Step 5: Solve for x
    x = 882,656.59/982.38
  6. Step 6: Final answer
    x = 898.49

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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.