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Finding the Fourth Proportional to 952.32, 1,429.20 and 816.96

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Solution

The fourth proportional to 952.32, 1,429.20 and 816.96 is: 1,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.32 : 1,429.20 = 816.96 : x
  2. Step 2: Convert to fraction form
    952.32/1,429.20 = 816.96/x
  3. Step 3: Cross multiply
    952.32x = 1,429.20 × 816.96
  4. Step 4: Simplify right side
    952.32x = 1,167,599.23
  5. Step 5: Solve for x
    x = 1,167,599.23/952.32
  6. Step 6: Final answer
    x = 1,226.06

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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.