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Finding the Fourth Proportional to 911.13, 1,257.71 and 813.93

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Solution

The fourth proportional to 911.13, 1,257.71 and 813.93 is: 1,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.13 : 1,257.71 = 813.93 : x
  2. Step 2: Convert to fraction form
    911.13/1,257.71 = 813.93/x
  3. Step 3: Cross multiply
    911.13x = 1,257.71 × 813.93
  4. Step 4: Simplify right side
    911.13x = 1,023,683.83
  5. Step 5: Solve for x
    x = 1,023,683.83/911.13
  6. Step 6: Final answer
    x = 1,123.53

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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.