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Finding the Fourth Proportional to 947.08, 1,418.19 and 784.27

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Solution

The fourth proportional to 947.08, 1,418.19 and 784.27 is: 1,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.08 : 1,418.19 = 784.27 : x
  2. Step 2: Convert to fraction form
    947.08/1,418.19 = 784.27/x
  3. Step 3: Cross multiply
    947.08x = 1,418.19 × 784.27
  4. Step 4: Simplify right side
    947.08x = 1,112,243.87
  5. Step 5: Solve for x
    x = 1,112,243.87/947.08
  6. Step 6: Final answer
    x = 1,174.39

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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.