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Finding the Fourth Proportional to 797.35, 1,101.37 and 613.10

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Solution

The fourth proportional to 797.35, 1,101.37 and 613.10 is: 846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.35 : 1,101.37 = 613.10 : x
  2. Step 2: Convert to fraction form
    797.35/1,101.37 = 613.10/x
  3. Step 3: Cross multiply
    797.35x = 1,101.37 × 613.10
  4. Step 4: Simplify right side
    797.35x = 675,246.88
  5. Step 5: Solve for x
    x = 675,246.88/797.35
  6. Step 6: Final answer
    x = 846.86

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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.