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Finding the Fourth Proportional to 1,049.83, 1,575.96 and 563.83

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Solution

The fourth proportional to 1,049.83, 1,575.96 and 563.83 is: 846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.83 : 1,575.96 = 563.83 : x
  2. Step 2: Convert to fraction form
    1,049.83/1,575.96 = 563.83/x
  3. Step 3: Cross multiply
    1,049.83x = 1,575.96 × 563.83
  4. Step 4: Simplify right side
    1,049.83x = 888,573.53
  5. Step 5: Solve for x
    x = 888,573.53/1,049.83
  6. Step 6: Final answer
    x = 846.40

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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.