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Finding the Fourth Proportional to 893.74, 1,233.42 and 520.84

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Solution

The fourth proportional to 893.74, 1,233.42 and 520.84 is: 718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.74 : 1,233.42 = 520.84 : x
  2. Step 2: Convert to fraction form
    893.74/1,233.42 = 520.84/x
  3. Step 3: Cross multiply
    893.74x = 1,233.42 × 520.84
  4. Step 4: Simplify right side
    893.74x = 642,414.47
  5. Step 5: Solve for x
    x = 642,414.47/893.74
  6. Step 6: Final answer
    x = 718.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.