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Finding the Fourth Proportional to 1,605.75, 2,408.64 and 511.02

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Solution

The fourth proportional to 1,605.75, 2,408.64 and 511.02 is: 766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.75 : 2,408.64 = 511.02 : x
  2. Step 2: Convert to fraction form
    1,605.75/2,408.64 = 511.02/x
  3. Step 3: Cross multiply
    1,605.75x = 2,408.64 × 511.02
  4. Step 4: Simplify right side
    1,605.75x = 1,230,863.21
  5. Step 5: Solve for x
    x = 1,230,863.21/1,605.75
  6. Step 6: Final answer
    x = 766.53

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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.