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Finding the Fourth Proportional to 1,170.55, 1,755.83 and 805.24

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Solution

The fourth proportional to 1,170.55, 1,755.83 and 805.24 is: 1,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.55 : 1,755.83 = 805.24 : x
  2. Step 2: Convert to fraction form
    1,170.55/1,755.83 = 805.24/x
  3. Step 3: Cross multiply
    1,170.55x = 1,755.83 × 805.24
  4. Step 4: Simplify right side
    1,170.55x = 1,413,864.55
  5. Step 5: Solve for x
    x = 1,413,864.55/1,170.55
  6. Step 6: Final answer
    x = 1,207.86

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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.