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Finding the Fourth Proportional to 742.41, 1,111.93 and 433.80

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Solution

The fourth proportional to 742.41, 1,111.93 and 433.80 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.41 : 1,111.93 = 433.80 : x
  2. Step 2: Convert to fraction form
    742.41/1,111.93 = 433.80/x
  3. Step 3: Cross multiply
    742.41x = 1,111.93 × 433.80
  4. Step 4: Simplify right side
    742.41x = 482,354.15
  5. Step 5: Solve for x
    x = 482,354.15/742.41
  6. Step 6: Final answer
    x = 649.71

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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.