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Finding the Fourth Proportional to 947.43, 1,416.78 and 713.34

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Solution

The fourth proportional to 947.43, 1,416.78 and 713.34 is: 1,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.43 : 1,416.78 = 713.34 : x
  2. Step 2: Convert to fraction form
    947.43/1,416.78 = 713.34/x
  3. Step 3: Cross multiply
    947.43x = 1,416.78 × 713.34
  4. Step 4: Simplify right side
    947.43x = 1,010,645.85
  5. Step 5: Solve for x
    x = 1,010,645.85/947.43
  6. Step 6: Final answer
    x = 1,066.72

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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.