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Finding the Fourth Proportional to 797.76, 1,196.24 and 386.92

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Solution

The fourth proportional to 797.76, 1,196.24 and 386.92 is: 580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.76 : 1,196.24 = 386.92 : x
  2. Step 2: Convert to fraction form
    797.76/1,196.24 = 386.92/x
  3. Step 3: Cross multiply
    797.76x = 1,196.24 × 386.92
  4. Step 4: Simplify right side
    797.76x = 462,849.18
  5. Step 5: Solve for x
    x = 462,849.18/797.76
  6. Step 6: Final answer
    x = 580.19

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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.