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Finding the Fourth Proportional to 837.14, 1,156.35 and 641.66

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Solution

The fourth proportional to 837.14, 1,156.35 and 641.66 is: 886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.14 : 1,156.35 = 641.66 : x
  2. Step 2: Convert to fraction form
    837.14/1,156.35 = 641.66/x
  3. Step 3: Cross multiply
    837.14x = 1,156.35 × 641.66
  4. Step 4: Simplify right side
    837.14x = 741,977.76
  5. Step 5: Solve for x
    x = 741,977.76/837.14
  6. Step 6: Final answer
    x = 886.33

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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.