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Finding the Fourth Proportional to 820.12, 1,131.14 and 654.12

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Solution

The fourth proportional to 820.12, 1,131.14 and 654.12 is: 902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.12 : 1,131.14 = 654.12 : x
  2. Step 2: Convert to fraction form
    820.12/1,131.14 = 654.12/x
  3. Step 3: Cross multiply
    820.12x = 1,131.14 × 654.12
  4. Step 4: Simplify right side
    820.12x = 739,901.30
  5. Step 5: Solve for x
    x = 739,901.30/820.12
  6. Step 6: Final answer
    x = 902.19

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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.