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Finding the Fourth Proportional to 1,610.78, 2,416.50 and 515.22

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Solution

The fourth proportional to 1,610.78, 2,416.50 and 515.22 is: 772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.78 : 2,416.50 = 515.22 : x
  2. Step 2: Convert to fraction form
    1,610.78/2,416.50 = 515.22/x
  3. Step 3: Cross multiply
    1,610.78x = 2,416.50 × 515.22
  4. Step 4: Simplify right side
    1,610.78x = 1,245,029.13
  5. Step 5: Solve for x
    x = 1,245,029.13/1,610.78
  6. Step 6: Final answer
    x = 772.94

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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.