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Finding the Fourth Proportional to 930.61, 1,286.04 and 753.22

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Solution

The fourth proportional to 930.61, 1,286.04 and 753.22 is: 1,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.61 : 1,286.04 = 753.22 : x
  2. Step 2: Convert to fraction form
    930.61/1,286.04 = 753.22/x
  3. Step 3: Cross multiply
    930.61x = 1,286.04 × 753.22
  4. Step 4: Simplify right side
    930.61x = 968,671.05
  5. Step 5: Solve for x
    x = 968,671.05/930.61
  6. Step 6: Final answer
    x = 1,040.90

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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.