Home / 1,002.24-1,382.58-931.91

Finding the Fourth Proportional to 1,002.24, 1,382.58 and 931.91

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Solution

The fourth proportional to 1,002.24, 1,382.58 and 931.91 is: 1,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.24 : 1,382.58 = 931.91 : x
  2. Step 2: Convert to fraction form
    1,002.24/1,382.58 = 931.91/x
  3. Step 3: Cross multiply
    1,002.24x = 1,382.58 × 931.91
  4. Step 4: Simplify right side
    1,002.24x = 1,288,433.21
  5. Step 5: Solve for x
    x = 1,288,433.21/1,002.24
  6. Step 6: Final answer
    x = 1,285.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.