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Finding the Fourth Proportional to 772.14, 1,158.47 and 406.83

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Solution

The fourth proportional to 772.14, 1,158.47 and 406.83 is: 610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.14 : 1,158.47 = 406.83 : x
  2. Step 2: Convert to fraction form
    772.14/1,158.47 = 406.83/x
  3. Step 3: Cross multiply
    772.14x = 1,158.47 × 406.83
  4. Step 4: Simplify right side
    772.14x = 471,300.35
  5. Step 5: Solve for x
    x = 471,300.35/772.14
  6. Step 6: Final answer
    x = 610.38

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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.