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Finding the Fourth Proportional to 706.13, 974.47 and 422.84

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Solution

The fourth proportional to 706.13, 974.47 and 422.84 is: 583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.13 : 974.47 = 422.84 : x
  2. Step 2: Convert to fraction form
    706.13/974.47 = 422.84/x
  3. Step 3: Cross multiply
    706.13x = 974.47 × 422.84
  4. Step 4: Simplify right side
    706.13x = 412,037.91
  5. Step 5: Solve for x
    x = 412,037.91/706.13
  6. Step 6: Final answer
    x = 583.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.