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Finding the Fourth Proportional to 811.58, 1,215.74 and 522.41

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Solution

The fourth proportional to 811.58, 1,215.74 and 522.41 is: 782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.58 : 1,215.74 = 522.41 : x
  2. Step 2: Convert to fraction form
    811.58/1,215.74 = 522.41/x
  3. Step 3: Cross multiply
    811.58x = 1,215.74 × 522.41
  4. Step 4: Simplify right side
    811.58x = 635,109.96
  5. Step 5: Solve for x
    x = 635,109.96/811.58
  6. Step 6: Final answer
    x = 782.56

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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.