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Finding the Fourth Proportional to 943.50, 1,416.38 and 685.16

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Solution

The fourth proportional to 943.50, 1,416.38 and 685.16 is: 1,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.50 : 1,416.38 = 685.16 : x
  2. Step 2: Convert to fraction form
    943.50/1,416.38 = 685.16/x
  3. Step 3: Cross multiply
    943.50x = 1,416.38 × 685.16
  4. Step 4: Simplify right side
    943.50x = 970,436.41
  5. Step 5: Solve for x
    x = 970,436.41/943.50
  6. Step 6: Final answer
    x = 1,028.55

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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.