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Finding the Fourth Proportional to 816.98, 1,216.73 and 775.05

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Solution

The fourth proportional to 816.98, 1,216.73 and 775.05 is: 1,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.98 : 1,216.73 = 775.05 : x
  2. Step 2: Convert to fraction form
    816.98/1,216.73 = 775.05/x
  3. Step 3: Cross multiply
    816.98x = 1,216.73 × 775.05
  4. Step 4: Simplify right side
    816.98x = 943,022.71
  5. Step 5: Solve for x
    x = 943,022.71/816.98
  6. Step 6: Final answer
    x = 1,154.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.