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Finding the Fourth Proportional to 827.57, 1,142.03 and 459.57

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Solution

The fourth proportional to 827.57, 1,142.03 and 459.57 is: 634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.57 : 1,142.03 = 459.57 : x
  2. Step 2: Convert to fraction form
    827.57/1,142.03 = 459.57/x
  3. Step 3: Cross multiply
    827.57x = 1,142.03 × 459.57
  4. Step 4: Simplify right side
    827.57x = 524,842.73
  5. Step 5: Solve for x
    x = 524,842.73/827.57
  6. Step 6: Final answer
    x = 634.20

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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.