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Finding the Fourth Proportional to 797.35, 1,195.01 and 450.88

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Solution

The fourth proportional to 797.35, 1,195.01 and 450.88 is: 675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.35 : 1,195.01 = 450.88 : x
  2. Step 2: Convert to fraction form
    797.35/1,195.01 = 450.88/x
  3. Step 3: Cross multiply
    797.35x = 1,195.01 × 450.88
  4. Step 4: Simplify right side
    797.35x = 538,800.13
  5. Step 5: Solve for x
    x = 538,800.13/797.35
  6. Step 6: Final answer
    x = 675.74

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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.