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Finding the Fourth Proportional to 1,531, 2,296.74 and 505.24

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Solution

The fourth proportional to 1,531, 2,296.74 and 505.24 is: 757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531 : 2,296.74 = 505.24 : x
  2. Step 2: Convert to fraction form
    1,531/2,296.74 = 505.24/x
  3. Step 3: Cross multiply
    1,531x = 2,296.74 × 505.24
  4. Step 4: Simplify right side
    1,531x = 1,160,404.92
  5. Step 5: Solve for x
    x = 1,160,404.92/1,531
  6. Step 6: Final answer
    x = 757.94

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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.