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Finding the Fourth Proportional to 1,102.68, 1,652.86 and 399.42

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Solution

The fourth proportional to 1,102.68, 1,652.86 and 399.42 is: 598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.68 : 1,652.86 = 399.42 : x
  2. Step 2: Convert to fraction form
    1,102.68/1,652.86 = 399.42/x
  3. Step 3: Cross multiply
    1,102.68x = 1,652.86 × 399.42
  4. Step 4: Simplify right side
    1,102.68x = 660,183.34
  5. Step 5: Solve for x
    x = 660,183.34/1,102.68
  6. Step 6: Final answer
    x = 598.71

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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.