Home / 1,286.08-1,929.35-464.47

Finding the Fourth Proportional to 1,286.08, 1,929.35 and 464.47

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Solution

The fourth proportional to 1,286.08, 1,929.35 and 464.47 is: 696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.08 : 1,929.35 = 464.47 : x
  2. Step 2: Convert to fraction form
    1,286.08/1,929.35 = 464.47/x
  3. Step 3: Cross multiply
    1,286.08x = 1,929.35 × 464.47
  4. Step 4: Simplify right side
    1,286.08x = 896,121.53
  5. Step 5: Solve for x
    x = 896,121.53/1,286.08
  6. Step 6: Final answer
    x = 696.79

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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.