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Finding the Fourth Proportional to 708.71, 1,063.06 and 421.97

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Solution

The fourth proportional to 708.71, 1,063.06 and 421.97 is: 632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.71 : 1,063.06 = 421.97 : x
  2. Step 2: Convert to fraction form
    708.71/1,063.06 = 421.97/x
  3. Step 3: Cross multiply
    708.71x = 1,063.06 × 421.97
  4. Step 4: Simplify right side
    708.71x = 448,573.06
  5. Step 5: Solve for x
    x = 448,573.06/708.71
  6. Step 6: Final answer
    x = 632.95

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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.