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Finding the Fourth Proportional to 851.02, 1,276.68 and 440.05

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Solution

The fourth proportional to 851.02, 1,276.68 and 440.05 is: 660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.02 : 1,276.68 = 440.05 : x
  2. Step 2: Convert to fraction form
    851.02/1,276.68 = 440.05/x
  3. Step 3: Cross multiply
    851.02x = 1,276.68 × 440.05
  4. Step 4: Simplify right side
    851.02x = 561,796.65
  5. Step 5: Solve for x
    x = 561,796.65/851.02
  6. Step 6: Final answer
    x = 660.15

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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.