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Finding the Fourth Proportional to 1,610.85, 2,415.10 and 514.59

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Solution

The fourth proportional to 1,610.85, 2,415.10 and 514.59 is: 771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.85 : 2,415.10 = 514.59 : x
  2. Step 2: Convert to fraction form
    1,610.85/2,415.10 = 514.59/x
  3. Step 3: Cross multiply
    1,610.85x = 2,415.10 × 514.59
  4. Step 4: Simplify right side
    1,610.85x = 1,242,786.31
  5. Step 5: Solve for x
    x = 1,242,786.31/1,610.85
  6. Step 6: Final answer
    x = 771.51

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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.