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Finding the Fourth Proportional to 1,216.88, 1,825.61 and 351.18

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Solution

The fourth proportional to 1,216.88, 1,825.61 and 351.18 is: 526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.88 : 1,825.61 = 351.18 : x
  2. Step 2: Convert to fraction form
    1,216.88/1,825.61 = 351.18/x
  3. Step 3: Cross multiply
    1,216.88x = 1,825.61 × 351.18
  4. Step 4: Simplify right side
    1,216.88x = 641,115.96
  5. Step 5: Solve for x
    x = 641,115.96/1,216.88
  6. Step 6: Final answer
    x = 526.85

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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.