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Finding the Fourth Proportional to 1,610.43, 2,416.01 and 514.79

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Solution

The fourth proportional to 1,610.43, 2,416.01 and 514.79 is: 772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.43 : 2,416.01 = 514.79 : x
  2. Step 2: Convert to fraction form
    1,610.43/2,416.01 = 514.79/x
  3. Step 3: Cross multiply
    1,610.43x = 2,416.01 × 514.79
  4. Step 4: Simplify right side
    1,610.43x = 1,243,723.13
  5. Step 5: Solve for x
    x = 1,243,723.13/1,610.43
  6. Step 6: Final answer
    x = 772.29

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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.