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Finding the Fourth Proportional to 745.54, 1,027.75 and 523.79

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Solution

The fourth proportional to 745.54, 1,027.75 and 523.79 is: 722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.54 : 1,027.75 = 523.79 : x
  2. Step 2: Convert to fraction form
    745.54/1,027.75 = 523.79/x
  3. Step 3: Cross multiply
    745.54x = 1,027.75 × 523.79
  4. Step 4: Simplify right side
    745.54x = 538,325.17
  5. Step 5: Solve for x
    x = 538,325.17/745.54
  6. Step 6: Final answer
    x = 722.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.