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Finding the Fourth Proportional to 797.86, 1,197.14 and 432.21

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Solution

The fourth proportional to 797.86, 1,197.14 and 432.21 is: 648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.86 : 1,197.14 = 432.21 : x
  2. Step 2: Convert to fraction form
    797.86/1,197.14 = 432.21/x
  3. Step 3: Cross multiply
    797.86x = 1,197.14 × 432.21
  4. Step 4: Simplify right side
    797.86x = 517,415.88
  5. Step 5: Solve for x
    x = 517,415.88/797.86
  6. Step 6: Final answer
    x = 648.50

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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.