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Finding the Fourth Proportional to 772.64, 1,066.26 and 418.57

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Solution

The fourth proportional to 772.64, 1,066.26 and 418.57 is: 577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.64 : 1,066.26 = 418.57 : x
  2. Step 2: Convert to fraction form
    772.64/1,066.26 = 418.57/x
  3. Step 3: Cross multiply
    772.64x = 1,066.26 × 418.57
  4. Step 4: Simplify right side
    772.64x = 446,299.82
  5. Step 5: Solve for x
    x = 446,299.82/772.64
  6. Step 6: Final answer
    x = 577.63

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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.