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Finding the Fourth Proportional to 1,134.70, 1,688.94 and 1,109.19

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Solution

The fourth proportional to 1,134.70, 1,688.94 and 1,109.19 is: 1,650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.70 : 1,688.94 = 1,109.19 : x
  2. Step 2: Convert to fraction form
    1,134.70/1,688.94 = 1,109.19/x
  3. Step 3: Cross multiply
    1,134.70x = 1,688.94 × 1,109.19
  4. Step 4: Simplify right side
    1,134.70x = 1,873,355.36
  5. Step 5: Solve for x
    x = 1,873,355.36/1,134.70
  6. Step 6: Final answer
    x = 1,650.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.