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Finding the Fourth Proportional to 743.96, 1,115.93 and 256.74

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Solution

The fourth proportional to 743.96, 1,115.93 and 256.74 is: 385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.96 : 1,115.93 = 256.74 : x
  2. Step 2: Convert to fraction form
    743.96/1,115.93 = 256.74/x
  3. Step 3: Cross multiply
    743.96x = 1,115.93 × 256.74
  4. Step 4: Simplify right side
    743.96x = 286,504.51
  5. Step 5: Solve for x
    x = 286,504.51/743.96
  6. Step 6: Final answer
    x = 385.11

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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.