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Finding the Fourth Proportional to 943.88, 1,416.22 and 456.66

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Solution

The fourth proportional to 943.88, 1,416.22 and 456.66 is: 685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.88 : 1,416.22 = 456.66 : x
  2. Step 2: Convert to fraction form
    943.88/1,416.22 = 456.66/x
  3. Step 3: Cross multiply
    943.88x = 1,416.22 × 456.66
  4. Step 4: Simplify right side
    943.88x = 646,729.88
  5. Step 5: Solve for x
    x = 646,729.88/943.88
  6. Step 6: Final answer
    x = 685.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.