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Finding the Fourth Proportional to 1,209.89, 1,813.34 and 515.99

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Solution

The fourth proportional to 1,209.89, 1,813.34 and 515.99 is: 773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.89 : 1,813.34 = 515.99 : x
  2. Step 2: Convert to fraction form
    1,209.89/1,813.34 = 515.99/x
  3. Step 3: Cross multiply
    1,209.89x = 1,813.34 × 515.99
  4. Step 4: Simplify right side
    1,209.89x = 935,671.13
  5. Step 5: Solve for x
    x = 935,671.13/1,209.89
  6. Step 6: Final answer
    x = 773.35

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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.