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Finding the Fourth Proportional to 1,789.90, 2,685.30 and 557.44

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Solution

The fourth proportional to 1,789.90, 2,685.30 and 557.44 is: 836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.90 : 2,685.30 = 557.44 : x
  2. Step 2: Convert to fraction form
    1,789.90/2,685.30 = 557.44/x
  3. Step 3: Cross multiply
    1,789.90x = 2,685.30 × 557.44
  4. Step 4: Simplify right side
    1,789.90x = 1,496,893.63
  5. Step 5: Solve for x
    x = 1,496,893.63/1,789.90
  6. Step 6: Final answer
    x = 836.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.