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Finding the Fourth Proportional to 1,367.13, 2,050.46 and 442.68

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Solution

The fourth proportional to 1,367.13, 2,050.46 and 442.68 is: 663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.13 : 2,050.46 = 442.68 : x
  2. Step 2: Convert to fraction form
    1,367.13/2,050.46 = 442.68/x
  3. Step 3: Cross multiply
    1,367.13x = 2,050.46 × 442.68
  4. Step 4: Simplify right side
    1,367.13x = 907,695.42
  5. Step 5: Solve for x
    x = 907,695.42/1,367.13
  6. Step 6: Final answer
    x = 663.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.