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Finding the Fourth Proportional to 969.66, 1,338.12 and 576.69

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Solution

The fourth proportional to 969.66, 1,338.12 and 576.69 is: 795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.66 : 1,338.12 = 576.69 : x
  2. Step 2: Convert to fraction form
    969.66/1,338.12 = 576.69/x
  3. Step 3: Cross multiply
    969.66x = 1,338.12 × 576.69
  4. Step 4: Simplify right side
    969.66x = 771,680.42
  5. Step 5: Solve for x
    x = 771,680.42/969.66
  6. Step 6: Final answer
    x = 795.83

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Double scale
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1.5x scale

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.