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Finding the Fourth Proportional to 811.88, 1,216.74 and 465.44

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Solution

The fourth proportional to 811.88, 1,216.74 and 465.44 is: 697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.88 : 1,216.74 = 465.44 : x
  2. Step 2: Convert to fraction form
    811.88/1,216.74 = 465.44/x
  3. Step 3: Cross multiply
    811.88x = 1,216.74 × 465.44
  4. Step 4: Simplify right side
    811.88x = 566,319.47
  5. Step 5: Solve for x
    x = 566,319.47/811.88
  6. Step 6: Final answer
    x = 697.54

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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.