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Finding the Fourth Proportional to 797.16, 1,193.58 and 411.60

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Solution

The fourth proportional to 797.16, 1,193.58 and 411.60 is: 616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.16 : 1,193.58 = 411.60 : x
  2. Step 2: Convert to fraction form
    797.16/1,193.58 = 411.60/x
  3. Step 3: Cross multiply
    797.16x = 1,193.58 × 411.60
  4. Step 4: Simplify right side
    797.16x = 491,277.53
  5. Step 5: Solve for x
    x = 491,277.53/797.16
  6. Step 6: Final answer
    x = 616.28

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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.