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Finding the Fourth Proportional to 1,136.73, 1,699.31 and 1,019.35

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Solution

The fourth proportional to 1,136.73, 1,699.31 and 1,019.35 is: 1,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.73 : 1,699.31 = 1,019.35 : x
  2. Step 2: Convert to fraction form
    1,136.73/1,699.31 = 1,019.35/x
  3. Step 3: Cross multiply
    1,136.73x = 1,699.31 × 1,019.35
  4. Step 4: Simplify right side
    1,136.73x = 1,732,196.32
  5. Step 5: Solve for x
    x = 1,732,196.32/1,136.73
  6. Step 6: Final answer
    x = 1,523.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.