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Finding the Fourth Proportional to 1,234.27, 1,703.07 and 761.79

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Solution

The fourth proportional to 1,234.27, 1,703.07 and 761.79 is: 1,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.27 : 1,703.07 = 761.79 : x
  2. Step 2: Convert to fraction form
    1,234.27/1,703.07 = 761.79/x
  3. Step 3: Cross multiply
    1,234.27x = 1,703.07 × 761.79
  4. Step 4: Simplify right side
    1,234.27x = 1,297,381.70
  5. Step 5: Solve for x
    x = 1,297,381.70/1,234.27
  6. Step 6: Final answer
    x = 1,051.13

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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.