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Finding the Fourth Proportional to 1,511.47, 2,267.49 and 524.21

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Solution

The fourth proportional to 1,511.47, 2,267.49 and 524.21 is: 786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.47 : 2,267.49 = 524.21 : x
  2. Step 2: Convert to fraction form
    1,511.47/2,267.49 = 524.21/x
  3. Step 3: Cross multiply
    1,511.47x = 2,267.49 × 524.21
  4. Step 4: Simplify right side
    1,511.47x = 1,188,631.56
  5. Step 5: Solve for x
    x = 1,188,631.56/1,511.47
  6. Step 6: Final answer
    x = 786.41

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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.