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Finding the Fourth Proportional to 952.93, 1,429.86 and 465.72

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Solution

The fourth proportional to 952.93, 1,429.86 and 465.72 is: 698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.93 : 1,429.86 = 465.72 : x
  2. Step 2: Convert to fraction form
    952.93/1,429.86 = 465.72/x
  3. Step 3: Cross multiply
    952.93x = 1,429.86 × 465.72
  4. Step 4: Simplify right side
    952.93x = 665,914.40
  5. Step 5: Solve for x
    x = 665,914.40/952.93
  6. Step 6: Final answer
    x = 698.81

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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.