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Finding the Fourth Proportional to 930.65, 1,284.33 and 616.46

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Solution

The fourth proportional to 930.65, 1,284.33 and 616.46 is: 850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.65 : 1,284.33 = 616.46 : x
  2. Step 2: Convert to fraction form
    930.65/1,284.33 = 616.46/x
  3. Step 3: Cross multiply
    930.65x = 1,284.33 × 616.46
  4. Step 4: Simplify right side
    930.65x = 791,738.07
  5. Step 5: Solve for x
    x = 791,738.07/930.65
  6. Step 6: Final answer
    x = 850.74

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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.