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Finding the Fourth Proportional to 772.93, 1,066.64 and 418.85

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Solution

The fourth proportional to 772.93, 1,066.64 and 418.85 is: 578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.93 : 1,066.64 = 418.85 : x
  2. Step 2: Convert to fraction form
    772.93/1,066.64 = 418.85/x
  3. Step 3: Cross multiply
    772.93x = 1,066.64 × 418.85
  4. Step 4: Simplify right side
    772.93x = 446,763.50
  5. Step 5: Solve for x
    x = 446,763.50/772.93
  6. Step 6: Final answer
    x = 578.02

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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.