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Finding the Fourth Proportional to 745.03, 1,027.38 and 511.75

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Solution

The fourth proportional to 745.03, 1,027.38 and 511.75 is: 705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.03 : 1,027.38 = 511.75 : x
  2. Step 2: Convert to fraction form
    745.03/1,027.38 = 511.75/x
  3. Step 3: Cross multiply
    745.03x = 1,027.38 × 511.75
  4. Step 4: Simplify right side
    745.03x = 525,761.72
  5. Step 5: Solve for x
    x = 525,761.72/745.03
  6. Step 6: Final answer
    x = 705.69

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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.