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Finding the Fourth Proportional to 1,002.42, 1,383.30 and 609.48

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Solution

The fourth proportional to 1,002.42, 1,383.30 and 609.48 is: 841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.42 : 1,383.30 = 609.48 : x
  2. Step 2: Convert to fraction form
    1,002.42/1,383.30 = 609.48/x
  3. Step 3: Cross multiply
    1,002.42x = 1,383.30 × 609.48
  4. Step 4: Simplify right side
    1,002.42x = 843,093.68
  5. Step 5: Solve for x
    x = 843,093.68/1,002.42
  6. Step 6: Final answer
    x = 841.06

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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.