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Finding the Fourth Proportional to 811.66, 1,217.34 and 465.70

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Solution

The fourth proportional to 811.66, 1,217.34 and 465.70 is: 698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.66 : 1,217.34 = 465.70 : x
  2. Step 2: Convert to fraction form
    811.66/1,217.34 = 465.70/x
  3. Step 3: Cross multiply
    811.66x = 1,217.34 × 465.70
  4. Step 4: Simplify right side
    811.66x = 566,915.24
  5. Step 5: Solve for x
    x = 566,915.24/811.66
  6. Step 6: Final answer
    x = 698.46

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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.