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Finding the Fourth Proportional to 771.16, 1,064.20 and 421.86

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Solution

The fourth proportional to 771.16, 1,064.20 and 421.86 is: 582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.16 : 1,064.20 = 421.86 : x
  2. Step 2: Convert to fraction form
    771.16/1,064.20 = 421.86/x
  3. Step 3: Cross multiply
    771.16x = 1,064.20 × 421.86
  4. Step 4: Simplify right side
    771.16x = 448,943.41
  5. Step 5: Solve for x
    x = 448,943.41/771.16
  6. Step 6: Final answer
    x = 582.17

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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.