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Finding the Fourth Proportional to 772.72, 1,066.34 and 418.64

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Solution

The fourth proportional to 772.72, 1,066.34 and 418.64 is: 577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.72 : 1,066.34 = 418.64 : x
  2. Step 2: Convert to fraction form
    772.72/1,066.34 = 418.64/x
  3. Step 3: Cross multiply
    772.72x = 1,066.34 × 418.64
  4. Step 4: Simplify right side
    772.72x = 446,415.08
  5. Step 5: Solve for x
    x = 446,415.08/772.72
  6. Step 6: Final answer
    x = 577.72

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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.