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Finding the Fourth Proportional to 797.22, 1,196.30 and 432.00

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Solution

The fourth proportional to 797.22, 1,196.30 and 432.00 is: 648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.22 : 1,196.30 = 432.00 : x
  2. Step 2: Convert to fraction form
    797.22/1,196.30 = 432.00/x
  3. Step 3: Cross multiply
    797.22x = 1,196.30 × 432.00
  4. Step 4: Simplify right side
    797.22x = 516,793.46
  5. Step 5: Solve for x
    x = 516,793.46/797.22
  6. Step 6: Final answer
    x = 648.25

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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.