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Finding the Fourth Proportional to 744.76, 1,117.26 and 257.78

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Solution

The fourth proportional to 744.76, 1,117.26 and 257.78 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.76 : 1,117.26 = 257.78 : x
  2. Step 2: Convert to fraction form
    744.76/1,117.26 = 257.78/x
  3. Step 3: Cross multiply
    744.76x = 1,117.26 × 257.78
  4. Step 4: Simplify right side
    744.76x = 288,010.08
  5. Step 5: Solve for x
    x = 288,010.08/744.76
  6. Step 6: Final answer
    x = 386.71

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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.