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Finding the Fourth Proportional to 1,209.02, 1,814.06 and 515.76

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Solution

The fourth proportional to 1,209.02, 1,814.06 and 515.76 is: 773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.02 : 1,814.06 = 515.76 : x
  2. Step 2: Convert to fraction form
    1,209.02/1,814.06 = 515.76/x
  3. Step 3: Cross multiply
    1,209.02x = 1,814.06 × 515.76
  4. Step 4: Simplify right side
    1,209.02x = 935,619.59
  5. Step 5: Solve for x
    x = 935,619.59/1,209.02
  6. Step 6: Final answer
    x = 773.87

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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.