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Finding the Fourth Proportional to 1,286.90, 1,929.12 and 556.98

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Solution

The fourth proportional to 1,286.90, 1,929.12 and 556.98 is: 834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.90 : 1,929.12 = 556.98 : x
  2. Step 2: Convert to fraction form
    1,286.90/1,929.12 = 556.98/x
  3. Step 3: Cross multiply
    1,286.90x = 1,929.12 × 556.98
  4. Step 4: Simplify right side
    1,286.90x = 1,074,481.26
  5. Step 5: Solve for x
    x = 1,074,481.26/1,286.90
  6. Step 6: Final answer
    x = 834.94

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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.