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Finding the Fourth Proportional to 1,172.82, 1,767.29 and 971.90

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Solution

The fourth proportional to 1,172.82, 1,767.29 and 971.90 is: 1,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.82 : 1,767.29 = 971.90 : x
  2. Step 2: Convert to fraction form
    1,172.82/1,767.29 = 971.90/x
  3. Step 3: Cross multiply
    1,172.82x = 1,767.29 × 971.90
  4. Step 4: Simplify right side
    1,172.82x = 1,717,629.15
  5. Step 5: Solve for x
    x = 1,717,629.15/1,172.82
  6. Step 6: Final answer
    x = 1,464.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.