Home / 1,286.68-1,929.76-464.96

Finding the Fourth Proportional to 1,286.68, 1,929.76 and 464.96

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Solution

The fourth proportional to 1,286.68, 1,929.76 and 464.96 is: 697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.68 : 1,929.76 = 464.96 : x
  2. Step 2: Convert to fraction form
    1,286.68/1,929.76 = 464.96/x
  3. Step 3: Cross multiply
    1,286.68x = 1,929.76 × 464.96
  4. Step 4: Simplify right side
    1,286.68x = 897,261.21
  5. Step 5: Solve for x
    x = 897,261.21/1,286.68
  6. Step 6: Final answer
    x = 697.35

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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.