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Finding the Fourth Proportional to 1,385.30, 2,077.88 and 563.36

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Solution

The fourth proportional to 1,385.30, 2,077.88 and 563.36 is: 845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.30 : 2,077.88 = 563.36 : x
  2. Step 2: Convert to fraction form
    1,385.30/2,077.88 = 563.36/x
  3. Step 3: Cross multiply
    1,385.30x = 2,077.88 × 563.36
  4. Step 4: Simplify right side
    1,385.30x = 1,170,594.48
  5. Step 5: Solve for x
    x = 1,170,594.48/1,385.30
  6. Step 6: Final answer
    x = 845.01

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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.