Home / 1,288.53-1,932.79-466.61

Finding the Fourth Proportional to 1,288.53, 1,932.79 and 466.61

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Solution

The fourth proportional to 1,288.53, 1,932.79 and 466.61 is: 699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.53 : 1,932.79 = 466.61 : x
  2. Step 2: Convert to fraction form
    1,288.53/1,932.79 = 466.61/x
  3. Step 3: Cross multiply
    1,288.53x = 1,932.79 × 466.61
  4. Step 4: Simplify right side
    1,288.53x = 901,862.81
  5. Step 5: Solve for x
    x = 901,862.81/1,288.53
  6. Step 6: Final answer
    x = 699.92

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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.