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Finding the Fourth Proportional to 1,286.47, 1,929.84 and 637.12

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Solution

The fourth proportional to 1,286.47, 1,929.84 and 637.12 is: 955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.47 : 1,929.84 = 637.12 : x
  2. Step 2: Convert to fraction form
    1,286.47/1,929.84 = 637.12/x
  3. Step 3: Cross multiply
    1,286.47x = 1,929.84 × 637.12
  4. Step 4: Simplify right side
    1,286.47x = 1,229,539.66
  5. Step 5: Solve for x
    x = 1,229,539.66/1,286.47
  6. Step 6: Final answer
    x = 955.75

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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.