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Finding the Fourth Proportional to 930.92, 1,284.93 and 616.23

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Solution

The fourth proportional to 930.92, 1,284.93 and 616.23 is: 850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.92 : 1,284.93 = 616.23 : x
  2. Step 2: Convert to fraction form
    930.92/1,284.93 = 616.23/x
  3. Step 3: Cross multiply
    930.92x = 1,284.93 × 616.23
  4. Step 4: Simplify right side
    930.92x = 791,812.41
  5. Step 5: Solve for x
    x = 791,812.41/930.92
  6. Step 6: Final answer
    x = 850.57

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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.