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Finding the Fourth Proportional to 709.63, 1,063.22 and 684.11

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Solution

The fourth proportional to 709.63, 1,063.22 and 684.11 is: 1,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.63 : 1,063.22 = 684.11 : x
  2. Step 2: Convert to fraction form
    709.63/1,063.22 = 684.11/x
  3. Step 3: Cross multiply
    709.63x = 1,063.22 × 684.11
  4. Step 4: Simplify right side
    709.63x = 727,358.67
  5. Step 5: Solve for x
    x = 727,358.67/709.63
  6. Step 6: Final answer
    x = 1,024.99

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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.