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Finding the Fourth Proportional to 797.99, 1,196.98 and 651.58

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Solution

The fourth proportional to 797.99, 1,196.98 and 651.58 is: 977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.99 : 1,196.98 = 651.58 : x
  2. Step 2: Convert to fraction form
    797.99/1,196.98 = 651.58/x
  3. Step 3: Cross multiply
    797.99x = 1,196.98 × 651.58
  4. Step 4: Simplify right side
    797.99x = 779,923.61
  5. Step 5: Solve for x
    x = 779,923.61/797.99
  6. Step 6: Final answer
    x = 977.37

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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.