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Finding the Fourth Proportional to 952.86, 1,429.25 and 465.75

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Solution

The fourth proportional to 952.86, 1,429.25 and 465.75 is: 698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.86 : 1,429.25 = 465.75 : x
  2. Step 2: Convert to fraction form
    952.86/1,429.25 = 465.75/x
  3. Step 3: Cross multiply
    952.86x = 1,429.25 × 465.75
  4. Step 4: Simplify right side
    952.86x = 665,670.86
  5. Step 5: Solve for x
    x = 665,670.86/952.86
  6. Step 6: Final answer
    x = 698.60

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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.