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Finding the Fourth Proportional to 1,294.30, 1,786.20 and 704.83

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Solution

The fourth proportional to 1,294.30, 1,786.20 and 704.83 is: 972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.30 : 1,786.20 = 704.83 : x
  2. Step 2: Convert to fraction form
    1,294.30/1,786.20 = 704.83/x
  3. Step 3: Cross multiply
    1,294.30x = 1,786.20 × 704.83
  4. Step 4: Simplify right side
    1,294.30x = 1,258,967.35
  5. Step 5: Solve for x
    x = 1,258,967.35/1,294.30
  6. Step 6: Final answer
    x = 972.70

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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.