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Finding the Fourth Proportional to 821.86, 1,134.06 and 490.22

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Solution

The fourth proportional to 821.86, 1,134.06 and 490.22 is: 676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.86 : 1,134.06 = 490.22 : x
  2. Step 2: Convert to fraction form
    821.86/1,134.06 = 490.22/x
  3. Step 3: Cross multiply
    821.86x = 1,134.06 × 490.22
  4. Step 4: Simplify right side
    821.86x = 555,939.08
  5. Step 5: Solve for x
    x = 555,939.08/821.86
  6. Step 6: Final answer
    x = 676.44

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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.