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Finding the Fourth Proportional to 893.07, 1,232.42 and 520.02

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Solution

The fourth proportional to 893.07, 1,232.42 and 520.02 is: 717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.07 : 1,232.42 = 520.02 : x
  2. Step 2: Convert to fraction form
    893.07/1,232.42 = 520.02/x
  3. Step 3: Cross multiply
    893.07x = 1,232.42 × 520.02
  4. Step 4: Simplify right side
    893.07x = 640,880.45
  5. Step 5: Solve for x
    x = 640,880.45/893.07
  6. Step 6: Final answer
    x = 717.62

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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.