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Finding the Fourth Proportional to 893.94, 1,233.51 and 520.86

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Solution

The fourth proportional to 893.94, 1,233.51 and 520.86 is: 718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.94 : 1,233.51 = 520.86 : x
  2. Step 2: Convert to fraction form
    893.94/1,233.51 = 520.86/x
  3. Step 3: Cross multiply
    893.94x = 1,233.51 × 520.86
  4. Step 4: Simplify right side
    893.94x = 642,486.02
  5. Step 5: Solve for x
    x = 642,486.02/893.94
  6. Step 6: Final answer
    x = 718.71

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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.