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Finding the Fourth Proportional to 797.77, 1,196.79 and 407.94

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Solution

The fourth proportional to 797.77, 1,196.79 and 407.94 is: 611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.77 : 1,196.79 = 407.94 : x
  2. Step 2: Convert to fraction form
    797.77/1,196.79 = 407.94/x
  3. Step 3: Cross multiply
    797.77x = 1,196.79 × 407.94
  4. Step 4: Simplify right side
    797.77x = 488,218.51
  5. Step 5: Solve for x
    x = 488,218.51/797.77
  6. Step 6: Final answer
    x = 611.98

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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.