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Finding the Fourth Proportional to 1,610.43, 2,415.69 and 514.71

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Solution

The fourth proportional to 1,610.43, 2,415.69 and 514.71 is: 772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.43 : 2,415.69 = 514.71 : x
  2. Step 2: Convert to fraction form
    1,610.43/2,415.69 = 514.71/x
  3. Step 3: Cross multiply
    1,610.43x = 2,415.69 × 514.71
  4. Step 4: Simplify right side
    1,610.43x = 1,243,379.80
  5. Step 5: Solve for x
    x = 1,243,379.80/1,610.43
  6. Step 6: Final answer
    x = 772.08

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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.