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Finding the Fourth Proportional to 1,173.73, 1,760.02 and 625.77

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Solution

The fourth proportional to 1,173.73, 1,760.02 and 625.77 is: 938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.73 : 1,760.02 = 625.77 : x
  2. Step 2: Convert to fraction form
    1,173.73/1,760.02 = 625.77/x
  3. Step 3: Cross multiply
    1,173.73x = 1,760.02 × 625.77
  4. Step 4: Simplify right side
    1,173.73x = 1,101,367.72
  5. Step 5: Solve for x
    x = 1,101,367.72/1,173.73
  6. Step 6: Final answer
    x = 938.35

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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.