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Finding the Fourth Proportional to 931.23, 1,284.86 and 616.68

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Solution

The fourth proportional to 931.23, 1,284.86 and 616.68 is: 850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.23 : 1,284.86 = 616.68 : x
  2. Step 2: Convert to fraction form
    931.23/1,284.86 = 616.68/x
  3. Step 3: Cross multiply
    931.23x = 1,284.86 × 616.68
  4. Step 4: Simplify right side
    931.23x = 792,349.01
  5. Step 5: Solve for x
    x = 792,349.01/931.23
  6. Step 6: Final answer
    x = 850.86

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