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Finding the Fourth Proportional to 743.72, 1,115.74 and 396.87

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Solution

The fourth proportional to 743.72, 1,115.74 and 396.87 is: 595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.72 : 1,115.74 = 396.87 : x
  2. Step 2: Convert to fraction form
    743.72/1,115.74 = 396.87/x
  3. Step 3: Cross multiply
    743.72x = 1,115.74 × 396.87
  4. Step 4: Simplify right side
    743.72x = 442,804.73
  5. Step 5: Solve for x
    x = 442,804.73/743.72
  6. Step 6: Final answer
    x = 595.39

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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.