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Finding the Fourth Proportional to 1,170.99, 1,755.29 and 651.22

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Solution

The fourth proportional to 1,170.99, 1,755.29 and 651.22 is: 976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.99 : 1,755.29 = 651.22 : x
  2. Step 2: Convert to fraction form
    1,170.99/1,755.29 = 651.22/x
  3. Step 3: Cross multiply
    1,170.99x = 1,755.29 × 651.22
  4. Step 4: Simplify right side
    1,170.99x = 1,143,077.19
  5. Step 5: Solve for x
    x = 1,143,077.19/1,170.99
  6. Step 6: Final answer
    x = 976.16

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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.