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Finding the Fourth Proportional to 811.34, 1,217.47 and 537.58

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Solution

The fourth proportional to 811.34, 1,217.47 and 537.58 is: 806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.34 : 1,217.47 = 537.58 : x
  2. Step 2: Convert to fraction form
    811.34/1,217.47 = 537.58/x
  3. Step 3: Cross multiply
    811.34x = 1,217.47 × 537.58
  4. Step 4: Simplify right side
    811.34x = 654,487.52
  5. Step 5: Solve for x
    x = 654,487.52/811.34
  6. Step 6: Final answer
    x = 806.67

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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.