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Finding the Fourth Proportional to 969.70, 1,454.64 and 353.56

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Solution

The fourth proportional to 969.70, 1,454.64 and 353.56 is: 530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.70 : 1,454.64 = 353.56 : x
  2. Step 2: Convert to fraction form
    969.70/1,454.64 = 353.56/x
  3. Step 3: Cross multiply
    969.70x = 1,454.64 × 353.56
  4. Step 4: Simplify right side
    969.70x = 514,302.52
  5. Step 5: Solve for x
    x = 514,302.52/969.70
  6. Step 6: Final answer
    x = 530.37

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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.