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Finding the Fourth Proportional to 1,601.98, 2,402.76 and 506.26

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Solution

The fourth proportional to 1,601.98, 2,402.76 and 506.26 is: 759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.98 : 2,402.76 = 506.26 : x
  2. Step 2: Convert to fraction form
    1,601.98/2,402.76 = 506.26/x
  3. Step 3: Cross multiply
    1,601.98x = 2,402.76 × 506.26
  4. Step 4: Simplify right side
    1,601.98x = 1,216,421.28
  5. Step 5: Solve for x
    x = 1,216,421.28/1,601.98
  6. Step 6: Final answer
    x = 759.32

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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.