Home / 1,286.30-1,929.70-464.64

Finding the Fourth Proportional to 1,286.30, 1,929.70 and 464.64

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Solution

The fourth proportional to 1,286.30, 1,929.70 and 464.64 is: 697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.30 : 1,929.70 = 464.64 : x
  2. Step 2: Convert to fraction form
    1,286.30/1,929.70 = 464.64/x
  3. Step 3: Cross multiply
    1,286.30x = 1,929.70 × 464.64
  4. Step 4: Simplify right side
    1,286.30x = 896,615.81
  5. Step 5: Solve for x
    x = 896,615.81/1,286.30
  6. Step 6: Final answer
    x = 697.05

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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.