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Finding the Fourth Proportional to 1,601.66, 2,402.76 and 627.23

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Solution

The fourth proportional to 1,601.66, 2,402.76 and 627.23 is: 940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.66 : 2,402.76 = 627.23 : x
  2. Step 2: Convert to fraction form
    1,601.66/2,402.76 = 627.23/x
  3. Step 3: Cross multiply
    1,601.66x = 2,402.76 × 627.23
  4. Step 4: Simplify right side
    1,601.66x = 1,507,083.15
  5. Step 5: Solve for x
    x = 1,507,083.15/1,601.66
  6. Step 6: Final answer
    x = 940.95

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Why These Related Problems?

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