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Finding the Fourth Proportional to 947.84, 1,422.16 and 427.70

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Solution

The fourth proportional to 947.84, 1,422.16 and 427.70 is: 641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.84 : 1,422.16 = 427.70 : x
  2. Step 2: Convert to fraction form
    947.84/1,422.16 = 427.70/x
  3. Step 3: Cross multiply
    947.84x = 1,422.16 × 427.70
  4. Step 4: Simplify right side
    947.84x = 608,257.83
  5. Step 5: Solve for x
    x = 608,257.83/947.84
  6. Step 6: Final answer
    x = 641.73

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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.