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Finding the Fourth Proportional to 1,605.66, 2,408.46 and 510.09

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Solution

The fourth proportional to 1,605.66, 2,408.46 and 510.09 is: 765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.66 : 2,408.46 = 510.09 : x
  2. Step 2: Convert to fraction form
    1,605.66/2,408.46 = 510.09/x
  3. Step 3: Cross multiply
    1,605.66x = 2,408.46 × 510.09
  4. Step 4: Simplify right side
    1,605.66x = 1,228,531.36
  5. Step 5: Solve for x
    x = 1,228,531.36/1,605.66
  6. Step 6: Final answer
    x = 765.13

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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.