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Finding the Fourth Proportional to 838.97, 1,159.25 and 674.49

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Solution

The fourth proportional to 838.97, 1,159.25 and 674.49 is: 931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.97 : 1,159.25 = 674.49 : x
  2. Step 2: Convert to fraction form
    838.97/1,159.25 = 674.49/x
  3. Step 3: Cross multiply
    838.97x = 1,159.25 × 674.49
  4. Step 4: Simplify right side
    838.97x = 781,899.16
  5. Step 5: Solve for x
    x = 781,899.16/838.97
  6. Step 6: Final answer
    x = 931.98

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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.