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Finding the Fourth Proportional to 893.87, 1,233.36 and 520.71

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Solution

The fourth proportional to 893.87, 1,233.36 and 520.71 is: 718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.87 : 1,233.36 = 520.71 : x
  2. Step 2: Convert to fraction form
    893.87/1,233.36 = 520.71/x
  3. Step 3: Cross multiply
    893.87x = 1,233.36 × 520.71
  4. Step 4: Simplify right side
    893.87x = 642,218.26
  5. Step 5: Solve for x
    x = 642,218.26/893.87
  6. Step 6: Final answer
    x = 718.47

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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.