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Finding the Fourth Proportional to 743.18, 1,114.77 and 281.17

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Solution

The fourth proportional to 743.18, 1,114.77 and 281.17 is: 421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.18 : 1,114.77 = 281.17 : x
  2. Step 2: Convert to fraction form
    743.18/1,114.77 = 281.17/x
  3. Step 3: Cross multiply
    743.18x = 1,114.77 × 281.17
  4. Step 4: Simplify right side
    743.18x = 313,442.33
  5. Step 5: Solve for x
    x = 313,442.33/743.18
  6. Step 6: Final answer
    x = 421.76

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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.