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Finding the Fourth Proportional to 1,210.20, 1,814.82 and 517.20

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Solution

The fourth proportional to 1,210.20, 1,814.82 and 517.20 is: 775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.20 : 1,814.82 = 517.20 : x
  2. Step 2: Convert to fraction form
    1,210.20/1,814.82 = 517.20/x
  3. Step 3: Cross multiply
    1,210.20x = 1,814.82 × 517.20
  4. Step 4: Simplify right side
    1,210.20x = 938,624.90
  5. Step 5: Solve for x
    x = 938,624.90/1,210.20
  6. Step 6: Final answer
    x = 775.59

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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.