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Finding the Fourth Proportional to 743.97, 1,116.15 and 257.04

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Solution

The fourth proportional to 743.97, 1,116.15 and 257.04 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.97 : 1,116.15 = 257.04 : x
  2. Step 2: Convert to fraction form
    743.97/1,116.15 = 257.04/x
  3. Step 3: Cross multiply
    743.97x = 1,116.15 × 257.04
  4. Step 4: Simplify right side
    743.97x = 286,895.20
  5. Step 5: Solve for x
    x = 286,895.20/743.97
  6. Step 6: Final answer
    x = 385.63

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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.