Home / 1,217.38-1,826.58-524.20

Finding the Fourth Proportional to 1,217.38, 1,826.58 and 524.20

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Solution

The fourth proportional to 1,217.38, 1,826.58 and 524.20 is: 786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.38 : 1,826.58 = 524.20 : x
  2. Step 2: Convert to fraction form
    1,217.38/1,826.58 = 524.20/x
  3. Step 3: Cross multiply
    1,217.38x = 1,826.58 × 524.20
  4. Step 4: Simplify right side
    1,217.38x = 957,493.24
  5. Step 5: Solve for x
    x = 957,493.24/1,217.38
  6. Step 6: Final answer
    x = 786.52

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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.