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Finding the Fourth Proportional to 813.06, 1,219.68 and 293.11

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Solution

The fourth proportional to 813.06, 1,219.68 and 293.11 is: 439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.06 : 1,219.68 = 293.11 : x
  2. Step 2: Convert to fraction form
    813.06/1,219.68 = 293.11/x
  3. Step 3: Cross multiply
    813.06x = 1,219.68 × 293.11
  4. Step 4: Simplify right side
    813.06x = 357,499.40
  5. Step 5: Solve for x
    x = 357,499.40/813.06
  6. Step 6: Final answer
    x = 439.69

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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.