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Finding the Fourth Proportional to 969.96, 1,338.86 and 616.12

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Solution

The fourth proportional to 969.96, 1,338.86 and 616.12 is: 850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.96 : 1,338.86 = 616.12 : x
  2. Step 2: Convert to fraction form
    969.96/1,338.86 = 616.12/x
  3. Step 3: Cross multiply
    969.96x = 1,338.86 × 616.12
  4. Step 4: Simplify right side
    969.96x = 824,898.42
  5. Step 5: Solve for x
    x = 824,898.42/969.96
  6. Step 6: Final answer
    x = 850.45

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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.