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Finding the Fourth Proportional to 947.13, 1,416.61 and 684.17

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Solution

The fourth proportional to 947.13, 1,416.61 and 684.17 is: 1,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.13 : 1,416.61 = 684.17 : x
  2. Step 2: Convert to fraction form
    947.13/1,416.61 = 684.17/x
  3. Step 3: Cross multiply
    947.13x = 1,416.61 × 684.17
  4. Step 4: Simplify right side
    947.13x = 969,202.06
  5. Step 5: Solve for x
    x = 969,202.06/947.13
  6. Step 6: Final answer
    x = 1,023.30

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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.