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Finding the Fourth Proportional to 1,602, 2,402.82 and 506.16

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Solution

The fourth proportional to 1,602, 2,402.82 and 506.16 is: 759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602 : 2,402.82 = 506.16 : x
  2. Step 2: Convert to fraction form
    1,602/2,402.82 = 506.16/x
  3. Step 3: Cross multiply
    1,602x = 2,402.82 × 506.16
  4. Step 4: Simplify right side
    1,602x = 1,216,211.37
  5. Step 5: Solve for x
    x = 1,216,211.37/1,602
  6. Step 6: Final answer
    x = 759.18

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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.