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Finding the Fourth Proportional to 745.14, 1,027.69 and 482.70

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Solution

The fourth proportional to 745.14, 1,027.69 and 482.70 is: 665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.14 : 1,027.69 = 482.70 : x
  2. Step 2: Convert to fraction form
    745.14/1,027.69 = 482.70/x
  3. Step 3: Cross multiply
    745.14x = 1,027.69 × 482.70
  4. Step 4: Simplify right side
    745.14x = 496,065.96
  5. Step 5: Solve for x
    x = 496,065.96/745.14
  6. Step 6: Final answer
    x = 665.74

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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.