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Finding the Fourth Proportional to 797.58, 1,193.67 and 537.57

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Solution

The fourth proportional to 797.58, 1,193.67 and 537.57 is: 804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.58 : 1,193.67 = 537.57 : x
  2. Step 2: Convert to fraction form
    797.58/1,193.67 = 537.57/x
  3. Step 3: Cross multiply
    797.58x = 1,193.67 × 537.57
  4. Step 4: Simplify right side
    797.58x = 641,681.18
  5. Step 5: Solve for x
    x = 641,681.18/797.58
  6. Step 6: Final answer
    x = 804.54

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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.