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Finding the Fourth Proportional to 797.54, 1,197.12 and 536.72

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Solution

The fourth proportional to 797.54, 1,197.12 and 536.72 is: 805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.54 : 1,197.12 = 536.72 : x
  2. Step 2: Convert to fraction form
    797.54/1,197.12 = 536.72/x
  3. Step 3: Cross multiply
    797.54x = 1,197.12 × 536.72
  4. Step 4: Simplify right side
    797.54x = 642,518.25
  5. Step 5: Solve for x
    x = 642,518.25/797.54
  6. Step 6: Final answer
    x = 805.63

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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.