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Finding the Fourth Proportional to 708.87, 1,063.14 and 298.02

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Solution

The fourth proportional to 708.87, 1,063.14 and 298.02 is: 446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.87 : 1,063.14 = 298.02 : x
  2. Step 2: Convert to fraction form
    708.87/1,063.14 = 298.02/x
  3. Step 3: Cross multiply
    708.87x = 1,063.14 × 298.02
  4. Step 4: Simplify right side
    708.87x = 316,836.98
  5. Step 5: Solve for x
    x = 316,836.98/708.87
  6. Step 6: Final answer
    x = 446.96

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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.