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Finding the Fourth Proportional to 933.11, 1,397.15 and 493.44

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Solution

The fourth proportional to 933.11, 1,397.15 and 493.44 is: 738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.11 : 1,397.15 = 493.44 : x
  2. Step 2: Convert to fraction form
    933.11/1,397.15 = 493.44/x
  3. Step 3: Cross multiply
    933.11x = 1,397.15 × 493.44
  4. Step 4: Simplify right side
    933.11x = 689,407.23
  5. Step 5: Solve for x
    x = 689,407.23/933.11
  6. Step 6: Final answer
    x = 738.83

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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.