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Finding the Fourth Proportional to 743.96, 1,114.27 and 396.69

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Solution

The fourth proportional to 743.96, 1,114.27 and 396.69 is: 594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.96 : 1,114.27 = 396.69 : x
  2. Step 2: Convert to fraction form
    743.96/1,114.27 = 396.69/x
  3. Step 3: Cross multiply
    743.96x = 1,114.27 × 396.69
  4. Step 4: Simplify right side
    743.96x = 442,019.77
  5. Step 5: Solve for x
    x = 442,019.77/743.96
  6. Step 6: Final answer
    x = 594.14

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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.