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Finding the Fourth Proportional to 893.81, 1,233.46 and 520.84

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Solution

The fourth proportional to 893.81, 1,233.46 and 520.84 is: 718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.81 : 1,233.46 = 520.84 : x
  2. Step 2: Convert to fraction form
    893.81/1,233.46 = 520.84/x
  3. Step 3: Cross multiply
    893.81x = 1,233.46 × 520.84
  4. Step 4: Simplify right side
    893.81x = 642,437.05
  5. Step 5: Solve for x
    x = 642,437.05/893.81
  6. Step 6: Final answer
    x = 718.76

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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.