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Finding the Fourth Proportional to 1,003.16, 1,383.99 and 610.04

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Solution

The fourth proportional to 1,003.16, 1,383.99 and 610.04 is: 841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.16 : 1,383.99 = 610.04 : x
  2. Step 2: Convert to fraction form
    1,003.16/1,383.99 = 610.04/x
  3. Step 3: Cross multiply
    1,003.16x = 1,383.99 × 610.04
  4. Step 4: Simplify right side
    1,003.16x = 844,282.34
  5. Step 5: Solve for x
    x = 844,282.34/1,003.16
  6. Step 6: Final answer
    x = 841.63

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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.