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Finding the Fourth Proportional to 1,234.98, 1,704.26 and 711

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Solution

The fourth proportional to 1,234.98, 1,704.26 and 711 is: 981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.98 : 1,704.26 = 711 : x
  2. Step 2: Convert to fraction form
    1,234.98/1,704.26 = 711/x
  3. Step 3: Cross multiply
    1,234.98x = 1,704.26 × 711
  4. Step 4: Simplify right side
    1,234.98x = 1,211,730.64
  5. Step 5: Solve for x
    x = 1,211,730.64/1,234.98
  6. Step 6: Final answer
    x = 981.17

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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.