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Finding the Fourth Proportional to 1,170.42, 1,755.63 and 822.75

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Solution

The fourth proportional to 1,170.42, 1,755.63 and 822.75 is: 1,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.42 : 1,755.63 = 822.75 : x
  2. Step 2: Convert to fraction form
    1,170.42/1,755.63 = 822.75/x
  3. Step 3: Cross multiply
    1,170.42x = 1,755.63 × 822.75
  4. Step 4: Simplify right side
    1,170.42x = 1,444,444.58
  5. Step 5: Solve for x
    x = 1,444,444.58/1,170.42
  6. Step 6: Final answer
    x = 1,234.13

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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.