Home / 1,217.82-1,826.74-524.44

Finding the Fourth Proportional to 1,217.82, 1,826.74 and 524.44

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Solution

The fourth proportional to 1,217.82, 1,826.74 and 524.44 is: 786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.82 : 1,826.74 = 524.44 : x
  2. Step 2: Convert to fraction form
    1,217.82/1,826.74 = 524.44/x
  3. Step 3: Cross multiply
    1,217.82x = 1,826.74 × 524.44
  4. Step 4: Simplify right side
    1,217.82x = 958,015.53
  5. Step 5: Solve for x
    x = 958,015.53/1,217.82
  6. Step 6: Final answer
    x = 786.66

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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.