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Finding the Fourth Proportional to 743.74, 1,115.57 and 256.77

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Solution

The fourth proportional to 743.74, 1,115.57 and 256.77 is: 385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.74 : 1,115.57 = 256.77 : x
  2. Step 2: Convert to fraction form
    743.74/1,115.57 = 256.77/x
  3. Step 3: Cross multiply
    743.74x = 1,115.57 × 256.77
  4. Step 4: Simplify right side
    743.74x = 286,444.91
  5. Step 5: Solve for x
    x = 286,444.91/743.74
  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.