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Finding the Fourth Proportional to 743.86, 1,116.14 and 378.68

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Solution

The fourth proportional to 743.86, 1,116.14 and 378.68 is: 568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.86 : 1,116.14 = 378.68 : x
  2. Step 2: Convert to fraction form
    743.86/1,116.14 = 378.68/x
  3. Step 3: Cross multiply
    743.86x = 1,116.14 × 378.68
  4. Step 4: Simplify right side
    743.86x = 422,652.42
  5. Step 5: Solve for x
    x = 422,652.42/743.86
  6. Step 6: Final answer
    x = 568.19

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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.