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Finding the Fourth Proportional to 797.54, 1,193.67 and 740.70

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Solution

The fourth proportional to 797.54, 1,193.67 and 740.70 is: 1,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.54 : 1,193.67 = 740.70 : x
  2. Step 2: Convert to fraction form
    797.54/1,193.67 = 740.70/x
  3. Step 3: Cross multiply
    797.54x = 1,193.67 × 740.70
  4. Step 4: Simplify right side
    797.54x = 884,151.37
  5. Step 5: Solve for x
    x = 884,151.37/797.54
  6. Step 6: Final answer
    x = 1,108.61

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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.