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Finding the Fourth Proportional to 1,016.26, 1,524.21 and 358.23

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Solution

The fourth proportional to 1,016.26, 1,524.21 and 358.23 is: 537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.26 : 1,524.21 = 358.23 : x
  2. Step 2: Convert to fraction form
    1,016.26/1,524.21 = 358.23/x
  3. Step 3: Cross multiply
    1,016.26x = 1,524.21 × 358.23
  4. Step 4: Simplify right side
    1,016.26x = 546,017.75
  5. Step 5: Solve for x
    x = 546,017.75/1,016.26
  6. Step 6: Final answer
    x = 537.28

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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.