Home / 1,052.33-1,578.09-504.14

Finding the Fourth Proportional to 1,052.33, 1,578.09 and 504.14

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Solution

The fourth proportional to 1,052.33, 1,578.09 and 504.14 is: 756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.33 : 1,578.09 = 504.14 : x
  2. Step 2: Convert to fraction form
    1,052.33/1,578.09 = 504.14/x
  3. Step 3: Cross multiply
    1,052.33x = 1,578.09 × 504.14
  4. Step 4: Simplify right side
    1,052.33x = 795,578.29
  5. Step 5: Solve for x
    x = 795,578.29/1,052.33
  6. Step 6: Final answer
    x = 756.02

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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.