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Finding the Fourth Proportional to 939.41, 1,295.14 and 770.74

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Solution

The fourth proportional to 939.41, 1,295.14 and 770.74 is: 1,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.41 : 1,295.14 = 770.74 : x
  2. Step 2: Convert to fraction form
    939.41/1,295.14 = 770.74/x
  3. Step 3: Cross multiply
    939.41x = 1,295.14 × 770.74
  4. Step 4: Simplify right side
    939.41x = 998,216.13
  5. Step 5: Solve for x
    x = 998,216.13/939.41
  6. Step 6: Final answer
    x = 1,062.60

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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.