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Finding the Fourth Proportional to 1,563.80, 2,345.94 and 793.88

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Solution

The fourth proportional to 1,563.80, 2,345.94 and 793.88 is: 1,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.80 : 2,345.94 = 793.88 : x
  2. Step 2: Convert to fraction form
    1,563.80/2,345.94 = 793.88/x
  3. Step 3: Cross multiply
    1,563.80x = 2,345.94 × 793.88
  4. Step 4: Simplify right side
    1,563.80x = 1,862,394.85
  5. Step 5: Solve for x
    x = 1,862,394.85/1,563.80
  6. Step 6: Final answer
    x = 1,190.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.