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Finding the Fourth Proportional to 1,049.55, 1,574.52 and 563.14

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Solution

The fourth proportional to 1,049.55, 1,574.52 and 563.14 is: 844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.55 : 1,574.52 = 563.14 : x
  2. Step 2: Convert to fraction form
    1,049.55/1,574.52 = 563.14/x
  3. Step 3: Cross multiply
    1,049.55x = 1,574.52 × 563.14
  4. Step 4: Simplify right side
    1,049.55x = 886,675.19
  5. Step 5: Solve for x
    x = 886,675.19/1,049.55
  6. Step 6: Final answer
    x = 844.81

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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.