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Finding the Fourth Proportional to 1,301.15, 1,951.22 and 467.97

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Solution

The fourth proportional to 1,301.15, 1,951.22 and 467.97 is: 701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.15 : 1,951.22 = 467.97 : x
  2. Step 2: Convert to fraction form
    1,301.15/1,951.22 = 467.97/x
  3. Step 3: Cross multiply
    1,301.15x = 1,951.22 × 467.97
  4. Step 4: Simplify right side
    1,301.15x = 913,110.08
  5. Step 5: Solve for x
    x = 913,110.08/1,301.15
  6. Step 6: Final answer
    x = 701.77

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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.