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Finding the Fourth Proportional to 1,286.84, 1,930.23 and 421.13

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Solution

The fourth proportional to 1,286.84, 1,930.23 and 421.13 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.84 : 1,930.23 = 421.13 : x
  2. Step 2: Convert to fraction form
    1,286.84/1,930.23 = 421.13/x
  3. Step 3: Cross multiply
    1,286.84x = 1,930.23 × 421.13
  4. Step 4: Simplify right side
    1,286.84x = 812,868.11
  5. Step 5: Solve for x
    x = 812,868.11/1,286.84
  6. Step 6: Final answer
    x = 631.68

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