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Finding the Fourth Proportional to 1,149.26, 1,586.05 and 983.41

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Solution

The fourth proportional to 1,149.26, 1,586.05 and 983.41 is: 1,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.26 : 1,586.05 = 983.41 : x
  2. Step 2: Convert to fraction form
    1,149.26/1,586.05 = 983.41/x
  3. Step 3: Cross multiply
    1,149.26x = 1,586.05 × 983.41
  4. Step 4: Simplify right side
    1,149.26x = 1,559,731.01
  5. Step 5: Solve for x
    x = 1,559,731.01/1,149.26
  6. Step 6: Final answer
    x = 1,357.17

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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.