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Finding the Fourth Proportional to 1,391.57, 2,087.34 and 417.63

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Solution

The fourth proportional to 1,391.57, 2,087.34 and 417.63 is: 626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.57 : 2,087.34 = 417.63 : x
  2. Step 2: Convert to fraction form
    1,391.57/2,087.34 = 417.63/x
  3. Step 3: Cross multiply
    1,391.57x = 2,087.34 × 417.63
  4. Step 4: Simplify right side
    1,391.57x = 871,735.80
  5. Step 5: Solve for x
    x = 871,735.80/1,391.57
  6. Step 6: Final answer
    x = 626.44

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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.