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Finding the Fourth Proportional to 742.84, 1,114.38 and 377.48

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Solution

The fourth proportional to 742.84, 1,114.38 and 377.48 is: 566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.84 : 1,114.38 = 377.48 : x
  2. Step 2: Convert to fraction form
    742.84/1,114.38 = 377.48/x
  3. Step 3: Cross multiply
    742.84x = 1,114.38 × 377.48
  4. Step 4: Simplify right side
    742.84x = 420,656.16
  5. Step 5: Solve for x
    x = 420,656.16/742.84
  6. Step 6: Final answer
    x = 566.28

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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.