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Finding the Fourth Proportional to 822.28, 1,134.66 and 490.72

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Solution

The fourth proportional to 822.28, 1,134.66 and 490.72 is: 677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.28 : 1,134.66 = 490.72 : x
  2. Step 2: Convert to fraction form
    822.28/1,134.66 = 490.72/x
  3. Step 3: Cross multiply
    822.28x = 1,134.66 × 490.72
  4. Step 4: Simplify right side
    822.28x = 556,800.36
  5. Step 5: Solve for x
    x = 556,800.36/822.28
  6. Step 6: Final answer
    x = 677.14

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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.