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Finding the Fourth Proportional to 827.84, 1,142.42 and 454.85

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Solution

The fourth proportional to 827.84, 1,142.42 and 454.85 is: 627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.84 : 1,142.42 = 454.85 : x
  2. Step 2: Convert to fraction form
    827.84/1,142.42 = 454.85/x
  3. Step 3: Cross multiply
    827.84x = 1,142.42 × 454.85
  4. Step 4: Simplify right side
    827.84x = 519,629.85
  5. Step 5: Solve for x
    x = 519,629.85/827.84
  6. Step 6: Final answer
    x = 627.69

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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.