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Finding the Fourth Proportional to 1,219.85, 1,826.69 and 807.74

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Solution

The fourth proportional to 1,219.85, 1,826.69 and 807.74 is: 1,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.85 : 1,826.69 = 807.74 : x
  2. Step 2: Convert to fraction form
    1,219.85/1,826.69 = 807.74/x
  3. Step 3: Cross multiply
    1,219.85x = 1,826.69 × 807.74
  4. Step 4: Simplify right side
    1,219.85x = 1,475,477.41
  5. Step 5: Solve for x
    x = 1,475,477.41/1,219.85
  6. Step 6: Final answer
    x = 1,209.56

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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.