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Finding the Fourth Proportional to 952.82, 1,429.83 and 465.91

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Solution

The fourth proportional to 952.82, 1,429.83 and 465.91 is: 699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.82 : 1,429.83 = 465.91 : x
  2. Step 2: Convert to fraction form
    952.82/1,429.83 = 465.91/x
  3. Step 3: Cross multiply
    952.82x = 1,429.83 × 465.91
  4. Step 4: Simplify right side
    952.82x = 666,172.10
  5. Step 5: Solve for x
    x = 666,172.10/952.82
  6. Step 6: Final answer
    x = 699.16

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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.