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Finding the Fourth Proportional to 1,016.88, 1,523.32 and 468.32

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Solution

The fourth proportional to 1,016.88, 1,523.32 and 468.32 is: 701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.88 : 1,523.32 = 468.32 : x
  2. Step 2: Convert to fraction form
    1,016.88/1,523.32 = 468.32/x
  3. Step 3: Cross multiply
    1,016.88x = 1,523.32 × 468.32
  4. Step 4: Simplify right side
    1,016.88x = 713,401.22
  5. Step 5: Solve for x
    x = 713,401.22/1,016.88
  6. Step 6: Final answer
    x = 701.56

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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.