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Finding the Fourth Proportional to 729.74, 1,095.92 and 700.38

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Solution

The fourth proportional to 729.74, 1,095.92 and 700.38 is: 1,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.74 : 1,095.92 = 700.38 : x
  2. Step 2: Convert to fraction form
    729.74/1,095.92 = 700.38/x
  3. Step 3: Cross multiply
    729.74x = 1,095.92 × 700.38
  4. Step 4: Simplify right side
    729.74x = 767,560.45
  5. Step 5: Solve for x
    x = 767,560.45/729.74
  6. Step 6: Final answer
    x = 1,051.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.