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Finding the Fourth Proportional to 1,610.77, 2,416.34 and 514.87

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Solution

The fourth proportional to 1,610.77, 2,416.34 and 514.87 is: 772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.77 : 2,416.34 = 514.87 : x
  2. Step 2: Convert to fraction form
    1,610.77/2,416.34 = 514.87/x
  3. Step 3: Cross multiply
    1,610.77x = 2,416.34 × 514.87
  4. Step 4: Simplify right side
    1,610.77x = 1,244,100.98
  5. Step 5: Solve for x
    x = 1,244,100.98/1,610.77
  6. Step 6: Final answer
    x = 772.36

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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.