Home / 1,286.31-1,929.33-506.16

Finding the Fourth Proportional to 1,286.31, 1,929.33 and 506.16

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Solution

The fourth proportional to 1,286.31, 1,929.33 and 506.16 is: 759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.31 : 1,929.33 = 506.16 : x
  2. Step 2: Convert to fraction form
    1,286.31/1,929.33 = 506.16/x
  3. Step 3: Cross multiply
    1,286.31x = 1,929.33 × 506.16
  4. Step 4: Simplify right side
    1,286.31x = 976,549.67
  5. Step 5: Solve for x
    x = 976,549.67/1,286.31
  6. Step 6: Final answer
    x = 759.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.