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Finding the Fourth Proportional to 771.13, 1,064.22 and 476.56

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Solution

The fourth proportional to 771.13, 1,064.22 and 476.56 is: 657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.13 : 1,064.22 = 476.56 : x
  2. Step 2: Convert to fraction form
    771.13/1,064.22 = 476.56/x
  3. Step 3: Cross multiply
    771.13x = 1,064.22 × 476.56
  4. Step 4: Simplify right side
    771.13x = 507,164.68
  5. Step 5: Solve for x
    x = 507,164.68/771.13
  6. Step 6: Final answer
    x = 657.69

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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.