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Finding the Fourth Proportional to 1,474.38, 2,034.63 and 844.86

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Solution

The fourth proportional to 1,474.38, 2,034.63 and 844.86 is: 1,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.38 : 2,034.63 = 844.86 : x
  2. Step 2: Convert to fraction form
    1,474.38/2,034.63 = 844.86/x
  3. Step 3: Cross multiply
    1,474.38x = 2,034.63 × 844.86
  4. Step 4: Simplify right side
    1,474.38x = 1,718,977.50
  5. Step 5: Solve for x
    x = 1,718,977.50/1,474.38
  6. Step 6: Final answer
    x = 1,165.90

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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.