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Finding the Fourth Proportional to 827.04, 1,138.84 and 748.92

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Solution

The fourth proportional to 827.04, 1,138.84 and 748.92 is: 1,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.04 : 1,138.84 = 748.92 : x
  2. Step 2: Convert to fraction form
    827.04/1,138.84 = 748.92/x
  3. Step 3: Cross multiply
    827.04x = 1,138.84 × 748.92
  4. Step 4: Simplify right side
    827.04x = 852,900.05
  5. Step 5: Solve for x
    x = 852,900.05/827.04
  6. Step 6: Final answer
    x = 1,031.27

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1.5x scale

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.