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Finding the Fourth Proportional to 1,601.74, 2,402.40 and 506.21

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Solution

The fourth proportional to 1,601.74, 2,402.40 and 506.21 is: 759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.74 : 2,402.40 = 506.21 : x
  2. Step 2: Convert to fraction form
    1,601.74/2,402.40 = 506.21/x
  3. Step 3: Cross multiply
    1,601.74x = 2,402.40 × 506.21
  4. Step 4: Simplify right side
    1,601.74x = 1,216,124.91
  5. Step 5: Solve for x
    x = 1,216,124.91/1,601.74
  6. Step 6: Final answer
    x = 759.25

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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.