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Finding the Fourth Proportional to 953.12, 1,429.08 and 465.68

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Solution

The fourth proportional to 953.12, 1,429.08 and 465.68 is: 698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.12 : 1,429.08 = 465.68 : x
  2. Step 2: Convert to fraction form
    953.12/1,429.08 = 465.68/x
  3. Step 3: Cross multiply
    953.12x = 1,429.08 × 465.68
  4. Step 4: Simplify right side
    953.12x = 665,493.97
  5. Step 5: Solve for x
    x = 665,493.97/953.12
  6. Step 6: Final answer
    x = 698.23

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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.