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Finding the Fourth Proportional to 827.95, 1,140.06 and 809.72

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Solution

The fourth proportional to 827.95, 1,140.06 and 809.72 is: 1,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.95 : 1,140.06 = 809.72 : x
  2. Step 2: Convert to fraction form
    827.95/1,140.06 = 809.72/x
  3. Step 3: Cross multiply
    827.95x = 1,140.06 × 809.72
  4. Step 4: Simplify right side
    827.95x = 923,135.27
  5. Step 5: Solve for x
    x = 923,135.27/827.95
  6. Step 6: Final answer
    x = 1,114.97

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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.