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Finding the Fourth Proportional to 1,214.96, 1,830.84 and 1,099.44

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Solution

The fourth proportional to 1,214.96, 1,830.84 and 1,099.44 is: 1,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.96 : 1,830.84 = 1,099.44 : x
  2. Step 2: Convert to fraction form
    1,214.96/1,830.84 = 1,099.44/x
  3. Step 3: Cross multiply
    1,214.96x = 1,830.84 × 1,099.44
  4. Step 4: Simplify right side
    1,214.96x = 2,012,898.73
  5. Step 5: Solve for x
    x = 2,012,898.73/1,214.96
  6. Step 6: Final answer
    x = 1,656.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.