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Finding the Fourth Proportional to 1,170.86, 1,616.43 and 798.38

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Solution

The fourth proportional to 1,170.86, 1,616.43 and 798.38 is: 1,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.86 : 1,616.43 = 798.38 : x
  2. Step 2: Convert to fraction form
    1,170.86/1,616.43 = 798.38/x
  3. Step 3: Cross multiply
    1,170.86x = 1,616.43 × 798.38
  4. Step 4: Simplify right side
    1,170.86x = 1,290,529.42
  5. Step 5: Solve for x
    x = 1,290,529.42/1,170.86
  6. Step 6: Final answer
    x = 1,102.21

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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.