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Finding the Fourth Proportional to 813.22, 1,219.48 and 293.06

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Solution

The fourth proportional to 813.22, 1,219.48 and 293.06 is: 439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.22 : 1,219.48 = 293.06 : x
  2. Step 2: Convert to fraction form
    813.22/1,219.48 = 293.06/x
  3. Step 3: Cross multiply
    813.22x = 1,219.48 × 293.06
  4. Step 4: Simplify right side
    813.22x = 357,380.81
  5. Step 5: Solve for x
    x = 357,380.81/813.22
  6. Step 6: Final answer
    x = 439.46

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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.