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Finding the Fourth Proportional to 742.92, 1,023.12 and 576.84

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Solution

The fourth proportional to 742.92, 1,023.12 and 576.84 is: 794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 1,023.12 = 576.84 : x
  2. Step 2: Convert to fraction form
    742.92/1,023.12 = 576.84/x
  3. Step 3: Cross multiply
    742.92x = 1,023.12 × 576.84
  4. Step 4: Simplify right side
    742.92x = 590,176.54
  5. Step 5: Solve for x
    x = 590,176.54/742.92
  6. Step 6: Final answer
    x = 794.40

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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.