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Finding the Fourth Proportional to 743.92, 1,115.53 and 256.84

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Solution

The fourth proportional to 743.92, 1,115.53 and 256.84 is: 385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.92 : 1,115.53 = 256.84 : x
  2. Step 2: Convert to fraction form
    743.92/1,115.53 = 256.84/x
  3. Step 3: Cross multiply
    743.92x = 1,115.53 × 256.84
  4. Step 4: Simplify right side
    743.92x = 286,512.73
  5. Step 5: Solve for x
    x = 286,512.73/743.92
  6. Step 6: Final answer
    x = 385.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.