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Finding the Fourth Proportional to 952.69, 1,429.49 and 465.47

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Solution

The fourth proportional to 952.69, 1,429.49 and 465.47 is: 698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.69 : 1,429.49 = 465.47 : x
  2. Step 2: Convert to fraction form
    952.69/1,429.49 = 465.47/x
  3. Step 3: Cross multiply
    952.69x = 1,429.49 × 465.47
  4. Step 4: Simplify right side
    952.69x = 665,384.71
  5. Step 5: Solve for x
    x = 665,384.71/952.69
  6. Step 6: Final answer
    x = 698.43

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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.