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Finding the Fourth Proportional to 797.51, 1,197.02 and 451.23

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Solution

The fourth proportional to 797.51, 1,197.02 and 451.23 is: 677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.51 : 1,197.02 = 451.23 : x
  2. Step 2: Convert to fraction form
    797.51/1,197.02 = 451.23/x
  3. Step 3: Cross multiply
    797.51x = 1,197.02 × 451.23
  4. Step 4: Simplify right side
    797.51x = 540,129.08
  5. Step 5: Solve for x
    x = 540,129.08/797.51
  6. Step 6: Final answer
    x = 677.27

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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.