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Finding the Fourth Proportional to 743.38, 1,114.08 and 280.62

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Solution

The fourth proportional to 743.38, 1,114.08 and 280.62 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.38 : 1,114.08 = 280.62 : x
  2. Step 2: Convert to fraction form
    743.38/1,114.08 = 280.62/x
  3. Step 3: Cross multiply
    743.38x = 1,114.08 × 280.62
  4. Step 4: Simplify right side
    743.38x = 312,633.13
  5. Step 5: Solve for x
    x = 312,633.13/743.38
  6. Step 6: Final answer
    x = 420.56

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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.