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Finding the Fourth Proportional to 815.02, 1,221.49 and 522.41

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Solution

The fourth proportional to 815.02, 1,221.49 and 522.41 is: 782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.02 : 1,221.49 = 522.41 : x
  2. Step 2: Convert to fraction form
    815.02/1,221.49 = 522.41/x
  3. Step 3: Cross multiply
    815.02x = 1,221.49 × 522.41
  4. Step 4: Simplify right side
    815.02x = 638,118.59
  5. Step 5: Solve for x
    x = 638,118.59/815.02
  6. Step 6: Final answer
    x = 782.95

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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.