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Finding the Fourth Proportional to 1,015.43, 1,401.25 and 567.31

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Solution

The fourth proportional to 1,015.43, 1,401.25 and 567.31 is: 782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.43 : 1,401.25 = 567.31 : x
  2. Step 2: Convert to fraction form
    1,015.43/1,401.25 = 567.31/x
  3. Step 3: Cross multiply
    1,015.43x = 1,401.25 × 567.31
  4. Step 4: Simplify right side
    1,015.43x = 794,943.14
  5. Step 5: Solve for x
    x = 794,943.14/1,015.43
  6. Step 6: Final answer
    x = 782.86

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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.