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Finding the Fourth Proportional to 1,385.22, 2,076.20 and 563.08

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Solution

The fourth proportional to 1,385.22, 2,076.20 and 563.08 is: 843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.22 : 2,076.20 = 563.08 : x
  2. Step 2: Convert to fraction form
    1,385.22/2,076.20 = 563.08/x
  3. Step 3: Cross multiply
    1,385.22x = 2,076.20 × 563.08
  4. Step 4: Simplify right side
    1,385.22x = 1,169,066.70
  5. Step 5: Solve for x
    x = 1,169,066.70/1,385.22
  6. Step 6: Final answer
    x = 843.96

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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.