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Finding the Fourth Proportional to 1,385.14, 2,077.95 and 563.98

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Solution

The fourth proportional to 1,385.14, 2,077.95 and 563.98 is: 846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.14 : 2,077.95 = 563.98 : x
  2. Step 2: Convert to fraction form
    1,385.14/2,077.95 = 563.98/x
  3. Step 3: Cross multiply
    1,385.14x = 2,077.95 × 563.98
  4. Step 4: Simplify right side
    1,385.14x = 1,171,922.24
  5. Step 5: Solve for x
    x = 1,171,922.24/1,385.14
  6. Step 6: Final answer
    x = 846.07

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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.