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Finding the Fourth Proportional to 952.13, 1,314.15 and 602.75

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Solution

The fourth proportional to 952.13, 1,314.15 and 602.75 is: 831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.13 : 1,314.15 = 602.75 : x
  2. Step 2: Convert to fraction form
    952.13/1,314.15 = 602.75/x
  3. Step 3: Cross multiply
    952.13x = 1,314.15 × 602.75
  4. Step 4: Simplify right side
    952.13x = 792,103.91
  5. Step 5: Solve for x
    x = 792,103.91/952.13
  6. Step 6: Final answer
    x = 831.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.