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Finding the Fourth Proportional to 772.60, 1,066.18 and 418.51

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Solution

The fourth proportional to 772.60, 1,066.18 and 418.51 is: 577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.60 : 1,066.18 = 418.51 : x
  2. Step 2: Convert to fraction form
    772.60/1,066.18 = 418.51/x
  3. Step 3: Cross multiply
    772.60x = 1,066.18 × 418.51
  4. Step 4: Simplify right side
    772.60x = 446,206.99
  5. Step 5: Solve for x
    x = 446,206.99/772.60
  6. Step 6: Final answer
    x = 577.54

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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.