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Finding the Fourth Proportional to 1,364.06, 2,046.24 and 439.40

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Solution

The fourth proportional to 1,364.06, 2,046.24 and 439.40 is: 659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.06 : 2,046.24 = 439.40 : x
  2. Step 2: Convert to fraction form
    1,364.06/2,046.24 = 439.40/x
  3. Step 3: Cross multiply
    1,364.06x = 2,046.24 × 439.40
  4. Step 4: Simplify right side
    1,364.06x = 899,117.86
  5. Step 5: Solve for x
    x = 899,117.86/1,364.06
  6. Step 6: Final answer
    x = 659.15

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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.