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Finding the Fourth Proportional to 1,136.97, 1,569.06 and 694.89

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Solution

The fourth proportional to 1,136.97, 1,569.06 and 694.89 is: 958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.97 : 1,569.06 = 694.89 : x
  2. Step 2: Convert to fraction form
    1,136.97/1,569.06 = 694.89/x
  3. Step 3: Cross multiply
    1,136.97x = 1,569.06 × 694.89
  4. Step 4: Simplify right side
    1,136.97x = 1,090,324.10
  5. Step 5: Solve for x
    x = 1,090,324.10/1,136.97
  6. Step 6: Final answer
    x = 958.97

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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.