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Finding the Fourth Proportional to 947.22, 1,420.86 and 297.96

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Solution

The fourth proportional to 947.22, 1,420.86 and 297.96 is: 446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.22 : 1,420.86 = 297.96 : x
  2. Step 2: Convert to fraction form
    947.22/1,420.86 = 297.96/x
  3. Step 3: Cross multiply
    947.22x = 1,420.86 × 297.96
  4. Step 4: Simplify right side
    947.22x = 423,359.45
  5. Step 5: Solve for x
    x = 423,359.45/947.22
  6. Step 6: Final answer
    x = 446.95

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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.