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Finding the Fourth Proportional to 797.47, 1,196.33 and 407.26

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Solution

The fourth proportional to 797.47, 1,196.33 and 407.26 is: 610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.47 : 1,196.33 = 407.26 : x
  2. Step 2: Convert to fraction form
    797.47/1,196.33 = 407.26/x
  3. Step 3: Cross multiply
    797.47x = 1,196.33 × 407.26
  4. Step 4: Simplify right side
    797.47x = 487,223.62
  5. Step 5: Solve for x
    x = 487,223.62/797.47
  6. Step 6: Final answer
    x = 610.96

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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.