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Finding the Fourth Proportional to 1,136.96, 1,703.52 and 810.72

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Solution

The fourth proportional to 1,136.96, 1,703.52 and 810.72 is: 1,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.96 : 1,703.52 = 810.72 : x
  2. Step 2: Convert to fraction form
    1,136.96/1,703.52 = 810.72/x
  3. Step 3: Cross multiply
    1,136.96x = 1,703.52 × 810.72
  4. Step 4: Simplify right side
    1,136.96x = 1,381,077.73
  5. Step 5: Solve for x
    x = 1,381,077.73/1,136.96
  6. Step 6: Final answer
    x = 1,214.71

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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.