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Finding the Fourth Proportional to 893.68, 1,233.53 and 520.78

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Solution

The fourth proportional to 893.68, 1,233.53 and 520.78 is: 718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.68 : 1,233.53 = 520.78 : x
  2. Step 2: Convert to fraction form
    893.68/1,233.53 = 520.78/x
  3. Step 3: Cross multiply
    893.68x = 1,233.53 × 520.78
  4. Step 4: Simplify right side
    893.68x = 642,396.33
  5. Step 5: Solve for x
    x = 642,396.33/893.68
  6. Step 6: Final answer
    x = 718.82

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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.