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Finding the Fourth Proportional to 771.47, 1,064.63 and 422.16

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Solution

The fourth proportional to 771.47, 1,064.63 and 422.16 is: 582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.47 : 1,064.63 = 422.16 : x
  2. Step 2: Convert to fraction form
    771.47/1,064.63 = 422.16/x
  3. Step 3: Cross multiply
    771.47x = 1,064.63 × 422.16
  4. Step 4: Simplify right side
    771.47x = 449,442.09
  5. Step 5: Solve for x
    x = 449,442.09/771.47
  6. Step 6: Final answer
    x = 582.58

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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.