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Finding the Fourth Proportional to 1,297.26, 1,946.70 and 527.76

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Solution

The fourth proportional to 1,297.26, 1,946.70 and 527.76 is: 791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.26 : 1,946.70 = 527.76 : x
  2. Step 2: Convert to fraction form
    1,297.26/1,946.70 = 527.76/x
  3. Step 3: Cross multiply
    1,297.26x = 1,946.70 × 527.76
  4. Step 4: Simplify right side
    1,297.26x = 1,027,390.39
  5. Step 5: Solve for x
    x = 1,027,390.39/1,297.26
  6. Step 6: Final answer
    x = 791.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.