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Finding the Fourth Proportional to 811.86, 1,217.24 and 291.86

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Solution

The fourth proportional to 811.86, 1,217.24 and 291.86 is: 437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.86 : 1,217.24 = 291.86 : x
  2. Step 2: Convert to fraction form
    811.86/1,217.24 = 291.86/x
  3. Step 3: Cross multiply
    811.86x = 1,217.24 × 291.86
  4. Step 4: Simplify right side
    811.86x = 355,257.22
  5. Step 5: Solve for x
    x = 355,257.22/811.86
  6. Step 6: Final answer
    x = 437.58

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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.