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Finding the Fourth Proportional to 931.79, 1,286.54 and 746.30

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Solution

The fourth proportional to 931.79, 1,286.54 and 746.30 is: 1,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.79 : 1,286.54 = 746.30 : x
  2. Step 2: Convert to fraction form
    931.79/1,286.54 = 746.30/x
  3. Step 3: Cross multiply
    931.79x = 1,286.54 × 746.30
  4. Step 4: Simplify right side
    931.79x = 960,134.64
  5. Step 5: Solve for x
    x = 960,134.64/931.79
  6. Step 6: Final answer
    x = 1,030.43

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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.