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Finding the Fourth Proportional to 838.03, 1,156.10 and 641.20

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Solution

The fourth proportional to 838.03, 1,156.10 and 641.20 is: 884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.03 : 1,156.10 = 641.20 : x
  2. Step 2: Convert to fraction form
    838.03/1,156.10 = 641.20/x
  3. Step 3: Cross multiply
    838.03x = 1,156.10 × 641.20
  4. Step 4: Simplify right side
    838.03x = 741,282.33
  5. Step 5: Solve for x
    x = 741,282.33/838.03
  6. Step 6: Final answer
    x = 884.56

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Double scale
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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.