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Finding the Fourth Proportional to 1,538.42, 2,306.21 and 613.75

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Solution

The fourth proportional to 1,538.42, 2,306.21 and 613.75 is: 920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.42 : 2,306.21 = 613.75 : x
  2. Step 2: Convert to fraction form
    1,538.42/2,306.21 = 613.75/x
  3. Step 3: Cross multiply
    1,538.42x = 2,306.21 × 613.75
  4. Step 4: Simplify right side
    1,538.42x = 1,415,433.32
  5. Step 5: Solve for x
    x = 1,415,433.32/1,538.42
  6. Step 6: Final answer
    x = 920.06

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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.