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Finding the Fourth Proportional to 891.01, 1,228.12 and 596.17

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Solution

The fourth proportional to 891.01, 1,228.12 and 596.17 is: 821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.01 : 1,228.12 = 596.17 : x
  2. Step 2: Convert to fraction form
    891.01/1,228.12 = 596.17/x
  3. Step 3: Cross multiply
    891.01x = 1,228.12 × 596.17
  4. Step 4: Simplify right side
    891.01x = 732,168.30
  5. Step 5: Solve for x
    x = 732,168.30/891.01
  6. Step 6: Final answer
    x = 821.73

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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.