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Finding the Fourth Proportional to 1,605.22, 2,408.54 and 783.68

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Solution

The fourth proportional to 1,605.22, 2,408.54 and 783.68 is: 1,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.22 : 2,408.54 = 783.68 : x
  2. Step 2: Convert to fraction form
    1,605.22/2,408.54 = 783.68/x
  3. Step 3: Cross multiply
    1,605.22x = 2,408.54 × 783.68
  4. Step 4: Simplify right side
    1,605.22x = 1,887,508.67
  5. Step 5: Solve for x
    x = 1,887,508.67/1,605.22
  6. Step 6: Final answer
    x = 1,175.86

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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.