Home / 1,217.52-1,826.98-514.67

Finding the Fourth Proportional to 1,217.52, 1,826.98 and 514.67

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Solution

The fourth proportional to 1,217.52, 1,826.98 and 514.67 is: 772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.52 : 1,826.98 = 514.67 : x
  2. Step 2: Convert to fraction form
    1,217.52/1,826.98 = 514.67/x
  3. Step 3: Cross multiply
    1,217.52x = 1,826.98 × 514.67
  4. Step 4: Simplify right side
    1,217.52x = 940,295.08
  5. Step 5: Solve for x
    x = 940,295.08/1,217.52
  6. Step 6: Final answer
    x = 772.30

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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.