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Finding the Fourth Proportional to 822.47, 1,134.82 and 490.83

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Solution

The fourth proportional to 822.47, 1,134.82 and 490.83 is: 677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.47 : 1,134.82 = 490.83 : x
  2. Step 2: Convert to fraction form
    822.47/1,134.82 = 490.83/x
  3. Step 3: Cross multiply
    822.47x = 1,134.82 × 490.83
  4. Step 4: Simplify right side
    822.47x = 557,002.47
  5. Step 5: Solve for x
    x = 557,002.47/822.47
  6. Step 6: Final answer
    x = 677.23

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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.