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Finding the Fourth Proportional to 797.07, 1,193.52 and 748.41

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Solution

The fourth proportional to 797.07, 1,193.52 and 748.41 is: 1,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.07 : 1,193.52 = 748.41 : x
  2. Step 2: Convert to fraction form
    797.07/1,193.52 = 748.41/x
  3. Step 3: Cross multiply
    797.07x = 1,193.52 × 748.41
  4. Step 4: Simplify right side
    797.07x = 893,242.30
  5. Step 5: Solve for x
    x = 893,242.30/797.07
  6. Step 6: Final answer
    x = 1,120.66

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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.