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Finding the Fourth Proportional to 742.82, 1,113.48 and 255.56

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Solution

The fourth proportional to 742.82, 1,113.48 and 255.56 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.82 : 1,113.48 = 255.56 : x
  2. Step 2: Convert to fraction form
    742.82/1,113.48 = 255.56/x
  3. Step 3: Cross multiply
    742.82x = 1,113.48 × 255.56
  4. Step 4: Simplify right side
    742.82x = 284,555.38
  5. Step 5: Solve for x
    x = 284,555.38/742.82
  6. Step 6: Final answer
    x = 383.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.