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Finding the Fourth Proportional to 1,029.03, 1,419.97 and 609.31

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Solution

The fourth proportional to 1,029.03, 1,419.97 and 609.31 is: 840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.03 : 1,419.97 = 609.31 : x
  2. Step 2: Convert to fraction form
    1,029.03/1,419.97 = 609.31/x
  3. Step 3: Cross multiply
    1,029.03x = 1,419.97 × 609.31
  4. Step 4: Simplify right side
    1,029.03x = 865,199.04
  5. Step 5: Solve for x
    x = 865,199.04/1,029.03
  6. Step 6: Final answer
    x = 840.79

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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.