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Finding the Fourth Proportional to 1,173.93, 1,760.54 and 351.98

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Solution

The fourth proportional to 1,173.93, 1,760.54 and 351.98 is: 527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.93 : 1,760.54 = 351.98 : x
  2. Step 2: Convert to fraction form
    1,173.93/1,760.54 = 351.98/x
  3. Step 3: Cross multiply
    1,173.93x = 1,760.54 × 351.98
  4. Step 4: Simplify right side
    1,173.93x = 619,673.88
  5. Step 5: Solve for x
    x = 619,673.88/1,173.93
  6. Step 6: Final answer
    x = 527.86

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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.