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Finding the Fourth Proportional to 1,297.58, 1,945.94 and 566.96

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Solution

The fourth proportional to 1,297.58, 1,945.94 and 566.96 is: 850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.58 : 1,945.94 = 566.96 : x
  2. Step 2: Convert to fraction form
    1,297.58/1,945.94 = 566.96/x
  3. Step 3: Cross multiply
    1,297.58x = 1,945.94 × 566.96
  4. Step 4: Simplify right side
    1,297.58x = 1,103,270.14
  5. Step 5: Solve for x
    x = 1,103,270.14/1,297.58
  6. Step 6: Final answer
    x = 850.25

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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.