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Finding the Fourth Proportional to 813.90, 1,221.06 and 467.46

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Solution

The fourth proportional to 813.90, 1,221.06 and 467.46 is: 701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.90 : 1,221.06 = 467.46 : x
  2. Step 2: Convert to fraction form
    813.90/1,221.06 = 467.46/x
  3. Step 3: Cross multiply
    813.90x = 1,221.06 × 467.46
  4. Step 4: Simplify right side
    813.90x = 570,796.71
  5. Step 5: Solve for x
    x = 570,796.71/813.90
  6. Step 6: Final answer
    x = 701.31

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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.