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Finding the Fourth Proportional to 797.00, 1,196.54 and 614.54

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Solution

The fourth proportional to 797.00, 1,196.54 and 614.54 is: 922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.00 : 1,196.54 = 614.54 : x
  2. Step 2: Convert to fraction form
    797.00/1,196.54 = 614.54/x
  3. Step 3: Cross multiply
    797.00x = 1,196.54 × 614.54
  4. Step 4: Simplify right side
    797.00x = 735,312.64
  5. Step 5: Solve for x
    x = 735,312.64/797.00
  6. Step 6: Final answer
    x = 922.61

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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.