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Finding the Fourth Proportional to 1,297.06, 1,945.50 and 527.54

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Solution

The fourth proportional to 1,297.06, 1,945.50 and 527.54 is: 791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.06 : 1,945.50 = 527.54 : x
  2. Step 2: Convert to fraction form
    1,297.06/1,945.50 = 527.54/x
  3. Step 3: Cross multiply
    1,297.06x = 1,945.50 × 527.54
  4. Step 4: Simplify right side
    1,297.06x = 1,026,329.07
  5. Step 5: Solve for x
    x = 1,026,329.07/1,297.06
  6. Step 6: Final answer
    x = 791.27

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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.