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Finding the Fourth Proportional to 1,083.02, 1,494.50 and 640.76

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Solution

The fourth proportional to 1,083.02, 1,494.50 and 640.76 is: 884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.02 : 1,494.50 = 640.76 : x
  2. Step 2: Convert to fraction form
    1,083.02/1,494.50 = 640.76/x
  3. Step 3: Cross multiply
    1,083.02x = 1,494.50 × 640.76
  4. Step 4: Simplify right side
    1,083.02x = 957,617.15
  5. Step 5: Solve for x
    x = 957,617.15/1,083.02
  6. Step 6: Final answer
    x = 884.21

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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.