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Finding the Fourth Proportional to 1,216.10, 1,822.80 and 696.35

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Solution

The fourth proportional to 1,216.10, 1,822.80 and 696.35 is: 1,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.10 : 1,822.80 = 696.35 : x
  2. Step 2: Convert to fraction form
    1,216.10/1,822.80 = 696.35/x
  3. Step 3: Cross multiply
    1,216.10x = 1,822.80 × 696.35
  4. Step 4: Simplify right side
    1,216.10x = 1,269,306.78
  5. Step 5: Solve for x
    x = 1,269,306.78/1,216.10
  6. Step 6: Final answer
    x = 1,043.75

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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.