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Finding the Fourth Proportional to 969.57, 1,453.67 and 507.11

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Solution

The fourth proportional to 969.57, 1,453.67 and 507.11 is: 760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.57 : 1,453.67 = 507.11 : x
  2. Step 2: Convert to fraction form
    969.57/1,453.67 = 507.11/x
  3. Step 3: Cross multiply
    969.57x = 1,453.67 × 507.11
  4. Step 4: Simplify right side
    969.57x = 737,172.29
  5. Step 5: Solve for x
    x = 737,172.29/969.57
  6. Step 6: Final answer
    x = 760.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.