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Finding the Fourth Proportional to 969.08, 1,453.79 and 353.65

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Solution

The fourth proportional to 969.08, 1,453.79 and 353.65 is: 530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.08 : 1,453.79 = 353.65 : x
  2. Step 2: Convert to fraction form
    969.08/1,453.79 = 353.65/x
  3. Step 3: Cross multiply
    969.08x = 1,453.79 × 353.65
  4. Step 4: Simplify right side
    969.08x = 514,123.80
  5. Step 5: Solve for x
    x = 514,123.80/969.08
  6. Step 6: Final answer
    x = 530.53

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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.