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Finding the Fourth Proportional to 1,234.88, 1,704.30 and 703.96

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Solution

The fourth proportional to 1,234.88, 1,704.30 and 703.96 is: 971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.88 : 1,704.30 = 703.96 : x
  2. Step 2: Convert to fraction form
    1,234.88/1,704.30 = 703.96/x
  3. Step 3: Cross multiply
    1,234.88x = 1,704.30 × 703.96
  4. Step 4: Simplify right side
    1,234.88x = 1,199,754.77
  5. Step 5: Solve for x
    x = 1,199,754.77/1,234.88
  6. Step 6: Final answer
    x = 971.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.