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Finding the Fourth Proportional to 1,385.11, 2,078.23 and 563.45

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Solution

The fourth proportional to 1,385.11, 2,078.23 and 563.45 is: 845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.11 : 2,078.23 = 563.45 : x
  2. Step 2: Convert to fraction form
    1,385.11/2,078.23 = 563.45/x
  3. Step 3: Cross multiply
    1,385.11x = 2,078.23 × 563.45
  4. Step 4: Simplify right side
    1,385.11x = 1,170,978.69
  5. Step 5: Solve for x
    x = 1,170,978.69/1,385.11
  6. Step 6: Final answer
    x = 845.40

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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.