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Finding the Fourth Proportional to 934.45, 1,287.83 and 748.55

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Solution

The fourth proportional to 934.45, 1,287.83 and 748.55 is: 1,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.45 : 1,287.83 = 748.55 : x
  2. Step 2: Convert to fraction form
    934.45/1,287.83 = 748.55/x
  3. Step 3: Cross multiply
    934.45x = 1,287.83 × 748.55
  4. Step 4: Simplify right side
    934.45x = 964,010.24
  5. Step 5: Solve for x
    x = 964,010.24/934.45
  6. Step 6: Final answer
    x = 1,031.64

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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.