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Finding the Fourth Proportional to 822.09, 1,134.44 and 449.07

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Solution

The fourth proportional to 822.09, 1,134.44 and 449.07 is: 619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.09 : 1,134.44 = 449.07 : x
  2. Step 2: Convert to fraction form
    822.09/1,134.44 = 449.07/x
  3. Step 3: Cross multiply
    822.09x = 1,134.44 × 449.07
  4. Step 4: Simplify right side
    822.09x = 509,442.97
  5. Step 5: Solve for x
    x = 509,442.97/822.09
  6. Step 6: Final answer
    x = 619.69

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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.