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Finding the Fourth Proportional to 1,107.40, 1,661.38 and 914.68

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Solution

The fourth proportional to 1,107.40, 1,661.38 and 914.68 is: 1,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.40 : 1,661.38 = 914.68 : x
  2. Step 2: Convert to fraction form
    1,107.40/1,661.38 = 914.68/x
  3. Step 3: Cross multiply
    1,107.40x = 1,661.38 × 914.68
  4. Step 4: Simplify right side
    1,107.40x = 1,519,631.06
  5. Step 5: Solve for x
    x = 1,519,631.06/1,107.40
  6. Step 6: Final answer
    x = 1,372.25

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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.