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Finding the Fourth Proportional to 1,138.48, 1,704.19 and 617.19

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Solution

The fourth proportional to 1,138.48, 1,704.19 and 617.19 is: 923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.48 : 1,704.19 = 617.19 : x
  2. Step 2: Convert to fraction form
    1,138.48/1,704.19 = 617.19/x
  3. Step 3: Cross multiply
    1,138.48x = 1,704.19 × 617.19
  4. Step 4: Simplify right side
    1,138.48x = 1,051,809.03
  5. Step 5: Solve for x
    x = 1,051,809.03/1,138.48
  6. Step 6: Final answer
    x = 923.87

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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.