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Finding the Fourth Proportional to 1,364.45, 2,046.69 and 440.01

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Solution

The fourth proportional to 1,364.45, 2,046.69 and 440.01 is: 660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.45 : 2,046.69 = 440.01 : x
  2. Step 2: Convert to fraction form
    1,364.45/2,046.69 = 440.01/x
  3. Step 3: Cross multiply
    1,364.45x = 2,046.69 × 440.01
  4. Step 4: Simplify right side
    1,364.45x = 900,565.30
  5. Step 5: Solve for x
    x = 900,565.30/1,364.45
  6. Step 6: Final answer
    x = 660.02

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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.