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Finding the Fourth Proportional to 885.04, 1,226.92 and 838.20

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Solution

The fourth proportional to 885.04, 1,226.92 and 838.20 is: 1,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.04 : 1,226.92 = 838.20 : x
  2. Step 2: Convert to fraction form
    885.04/1,226.92 = 838.20/x
  3. Step 3: Cross multiply
    885.04x = 1,226.92 × 838.20
  4. Step 4: Simplify right side
    885.04x = 1,028,404.34
  5. Step 5: Solve for x
    x = 1,028,404.34/885.04
  6. Step 6: Final answer
    x = 1,161.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.