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Finding the Fourth Proportional to 745.20, 1,027.08 and 511.92

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Solution

The fourth proportional to 745.20, 1,027.08 and 511.92 is: 705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.20 : 1,027.08 = 511.92 : x
  2. Step 2: Convert to fraction form
    745.20/1,027.08 = 511.92/x
  3. Step 3: Cross multiply
    745.20x = 1,027.08 × 511.92
  4. Step 4: Simplify right side
    745.20x = 525,782.79
  5. Step 5: Solve for x
    x = 525,782.79/745.20
  6. Step 6: Final answer
    x = 705.56

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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.