Home / 1,288.12-1,932.79-466.18

Finding the Fourth Proportional to 1,288.12, 1,932.79 and 466.18

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Solution

The fourth proportional to 1,288.12, 1,932.79 and 466.18 is: 699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.12 : 1,932.79 = 466.18 : x
  2. Step 2: Convert to fraction form
    1,288.12/1,932.79 = 466.18/x
  3. Step 3: Cross multiply
    1,288.12x = 1,932.79 × 466.18
  4. Step 4: Simplify right side
    1,288.12x = 901,018.38
  5. Step 5: Solve for x
    x = 901,018.38/1,288.12
  6. Step 6: Final answer
    x = 699.48

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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.