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Finding the Fourth Proportional to 744.63, 1,116.92 and 257.65

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Solution

The fourth proportional to 744.63, 1,116.92 and 257.65 is: 386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.63 : 1,116.92 = 257.65 : x
  2. Step 2: Convert to fraction form
    744.63/1,116.92 = 257.65/x
  3. Step 3: Cross multiply
    744.63x = 1,116.92 × 257.65
  4. Step 4: Simplify right side
    744.63x = 287,772.29
  5. Step 5: Solve for x
    x = 287,772.29/744.63
  6. Step 6: Final answer
    x = 386.47

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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.