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Finding the Fourth Proportional to 1,391.78, 2,087.27 and 467.24

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Solution

The fourth proportional to 1,391.78, 2,087.27 and 467.24 is: 700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.78 : 2,087.27 = 467.24 : x
  2. Step 2: Convert to fraction form
    1,391.78/2,087.27 = 467.24/x
  3. Step 3: Cross multiply
    1,391.78x = 2,087.27 × 467.24
  4. Step 4: Simplify right side
    1,391.78x = 975,245.01
  5. Step 5: Solve for x
    x = 975,245.01/1,391.78
  6. Step 6: Final answer
    x = 700.72

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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.