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Finding the Fourth Proportional to 836.10, 1,254.13 and 397.57

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Solution

The fourth proportional to 836.10, 1,254.13 and 397.57 is: 596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.10 : 1,254.13 = 397.57 : x
  2. Step 2: Convert to fraction form
    836.10/1,254.13 = 397.57/x
  3. Step 3: Cross multiply
    836.10x = 1,254.13 × 397.57
  4. Step 4: Simplify right side
    836.10x = 498,600.33
  5. Step 5: Solve for x
    x = 498,600.33/836.10
  6. Step 6: Final answer
    x = 596.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.