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Finding the Fourth Proportional to 1,173.61, 1,759.90 and 351.73

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Solution

The fourth proportional to 1,173.61, 1,759.90 and 351.73 is: 527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.61 : 1,759.90 = 351.73 : x
  2. Step 2: Convert to fraction form
    1,173.61/1,759.90 = 351.73/x
  3. Step 3: Cross multiply
    1,173.61x = 1,759.90 × 351.73
  4. Step 4: Simplify right side
    1,173.61x = 619,010.12
  5. Step 5: Solve for x
    x = 619,010.12/1,173.61
  6. Step 6: Final answer
    x = 527.44

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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.