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Finding the Fourth Proportional to 969.53, 1,338.15 and 576.48

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Solution

The fourth proportional to 969.53, 1,338.15 and 576.48 is: 795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.53 : 1,338.15 = 576.48 : x
  2. Step 2: Convert to fraction form
    969.53/1,338.15 = 576.48/x
  3. Step 3: Cross multiply
    969.53x = 1,338.15 × 576.48
  4. Step 4: Simplify right side
    969.53x = 771,416.71
  5. Step 5: Solve for x
    x = 771,416.71/969.53
  6. Step 6: Final answer
    x = 795.66

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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.