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Finding the Fourth Proportional to 824.40, 1,138.84 and 576.40

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Solution

The fourth proportional to 824.40, 1,138.84 and 576.40 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.40 : 1,138.84 = 576.40 : x
  2. Step 2: Convert to fraction form
    824.40/1,138.84 = 576.40/x
  3. Step 3: Cross multiply
    824.40x = 1,138.84 × 576.40
  4. Step 4: Simplify right side
    824.40x = 656,427.38
  5. Step 5: Solve for x
    x = 656,427.38/824.40
  6. Step 6: Final answer
    x = 796.25

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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.