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Finding the Fourth Proportional to 1,270.86, 1,754.19 and 798.90

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Solution

The fourth proportional to 1,270.86, 1,754.19 and 798.90 is: 1,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.86 : 1,754.19 = 798.90 : x
  2. Step 2: Convert to fraction form
    1,270.86/1,754.19 = 798.90/x
  3. Step 3: Cross multiply
    1,270.86x = 1,754.19 × 798.90
  4. Step 4: Simplify right side
    1,270.86x = 1,401,422.39
  5. Step 5: Solve for x
    x = 1,401,422.39/1,270.86
  6. Step 6: Final answer
    x = 1,102.74

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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.