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Finding the Fourth Proportional to 1,601.69, 2,402.51 and 627.09

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Solution

The fourth proportional to 1,601.69, 2,402.51 and 627.09 is: 940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.69 : 2,402.51 = 627.09 : x
  2. Step 2: Convert to fraction form
    1,601.69/2,402.51 = 627.09/x
  3. Step 3: Cross multiply
    1,601.69x = 2,402.51 × 627.09
  4. Step 4: Simplify right side
    1,601.69x = 1,506,586.86
  5. Step 5: Solve for x
    x = 1,506,586.86/1,601.69
  6. Step 6: Final answer
    x = 940.63

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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.