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Finding the Fourth Proportional to 801.31, 1,200.16 and 596.23

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Solution

The fourth proportional to 801.31, 1,200.16 and 596.23 is: 893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.31 : 1,200.16 = 596.23 : x
  2. Step 2: Convert to fraction form
    801.31/1,200.16 = 596.23/x
  3. Step 3: Cross multiply
    801.31x = 1,200.16 × 596.23
  4. Step 4: Simplify right side
    801.31x = 715,571.40
  5. Step 5: Solve for x
    x = 715,571.40/801.31
  6. Step 6: Final answer
    x = 893.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.