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Finding the Fourth Proportional to 709.57, 1,063.43 and 298.14

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Solution

The fourth proportional to 709.57, 1,063.43 and 298.14 is: 446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.57 : 1,063.43 = 298.14 : x
  2. Step 2: Convert to fraction form
    709.57/1,063.43 = 298.14/x
  3. Step 3: Cross multiply
    709.57x = 1,063.43 × 298.14
  4. Step 4: Simplify right side
    709.57x = 317,051.02
  5. Step 5: Solve for x
    x = 317,051.02/709.57
  6. Step 6: Final answer
    x = 446.82

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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.