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Finding the Fourth Proportional to 1,003.17, 1,383.96 and 630.03

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Solution

The fourth proportional to 1,003.17, 1,383.96 and 630.03 is: 869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.17 : 1,383.96 = 630.03 : x
  2. Step 2: Convert to fraction form
    1,003.17/1,383.96 = 630.03/x
  3. Step 3: Cross multiply
    1,003.17x = 1,383.96 × 630.03
  4. Step 4: Simplify right side
    1,003.17x = 871,936.32
  5. Step 5: Solve for x
    x = 871,936.32/1,003.17
  6. Step 6: Final answer
    x = 869.18

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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.