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Finding the Fourth Proportional to 1,648.90, 2,471.45 and 827.74

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Solution

The fourth proportional to 1,648.90, 2,471.45 and 827.74 is: 1,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.90 : 2,471.45 = 827.74 : x
  2. Step 2: Convert to fraction form
    1,648.90/2,471.45 = 827.74/x
  3. Step 3: Cross multiply
    1,648.90x = 2,471.45 × 827.74
  4. Step 4: Simplify right side
    1,648.90x = 2,045,718.02
  5. Step 5: Solve for x
    x = 2,045,718.02/1,648.90
  6. Step 6: Final answer
    x = 1,240.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.