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Finding the Fourth Proportional to 969.98, 1,338.54 and 576.78

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Solution

The fourth proportional to 969.98, 1,338.54 and 576.78 is: 795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.98 : 1,338.54 = 576.78 : x
  2. Step 2: Convert to fraction form
    969.98/1,338.54 = 576.78/x
  3. Step 3: Cross multiply
    969.98x = 1,338.54 × 576.78
  4. Step 4: Simplify right side
    969.98x = 772,043.10
  5. Step 5: Solve for x
    x = 772,043.10/969.98
  6. Step 6: Final answer
    x = 795.94

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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.