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Finding the Fourth Proportional to 744, 1,116.12 and 257.22

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Solution

The fourth proportional to 744, 1,116.12 and 257.22 is: 385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    744 : 1,116.12 = 257.22 : x
  2. Step 2: Convert to fraction form
    744/1,116.12 = 257.22/x
  3. Step 3: Cross multiply
    744x = 1,116.12 × 257.22
  4. Step 4: Simplify right side
    744x = 287,088.39
  5. Step 5: Solve for x
    x = 287,088.39/744
  6. Step 6: Final answer
    x = 385.87

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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.