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Finding the Fourth Proportional to 934.79, 1,289.19 and 748.21

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Solution

The fourth proportional to 934.79, 1,289.19 and 748.21 is: 1,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.79 : 1,289.19 = 748.21 : x
  2. Step 2: Convert to fraction form
    934.79/1,289.19 = 748.21/x
  3. Step 3: Cross multiply
    934.79x = 1,289.19 × 748.21
  4. Step 4: Simplify right side
    934.79x = 964,588.37
  5. Step 5: Solve for x
    x = 964,588.37/934.79
  6. Step 6: Final answer
    x = 1,031.88

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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.