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Finding the Fourth Proportional to 1,000.26, 1,499.59 and 506.41

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Solution

The fourth proportional to 1,000.26, 1,499.59 and 506.41 is: 759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.26 : 1,499.59 = 506.41 : x
  2. Step 2: Convert to fraction form
    1,000.26/1,499.59 = 506.41/x
  3. Step 3: Cross multiply
    1,000.26x = 1,499.59 × 506.41
  4. Step 4: Simplify right side
    1,000.26x = 759,404.26
  5. Step 5: Solve for x
    x = 759,404.26/1,000.26
  6. Step 6: Final answer
    x = 759.21

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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.