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Finding the Fourth Proportional to 1,217.73, 1,826.52 and 807.14

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Solution

The fourth proportional to 1,217.73, 1,826.52 and 807.14 is: 1,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.73 : 1,826.52 = 807.14 : x
  2. Step 2: Convert to fraction form
    1,217.73/1,826.52 = 807.14/x
  3. Step 3: Cross multiply
    1,217.73x = 1,826.52 × 807.14
  4. Step 4: Simplify right side
    1,217.73x = 1,474,260.57
  5. Step 5: Solve for x
    x = 1,474,260.57/1,217.73
  6. Step 6: Final answer
    x = 1,210.66

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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.