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Finding the Fourth Proportional to 706.71, 975.00 and 426.84

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Solution

The fourth proportional to 706.71, 975.00 and 426.84 is: 588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.71 : 975.00 = 426.84 : x
  2. Step 2: Convert to fraction form
    706.71/975.00 = 426.84/x
  3. Step 3: Cross multiply
    706.71x = 975.00 × 426.84
  4. Step 4: Simplify right side
    706.71x = 416,166.94
  5. Step 5: Solve for x
    x = 416,166.94/706.71
  6. Step 6: Final answer
    x = 588.88

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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.