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Finding the Fourth Proportional to 772.47, 1,065.99 and 418.38

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Solution

The fourth proportional to 772.47, 1,065.99 and 418.38 is: 577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.47 : 1,065.99 = 418.38 : x
  2. Step 2: Convert to fraction form
    772.47/1,065.99 = 418.38/x
  3. Step 3: Cross multiply
    772.47x = 1,065.99 × 418.38
  4. Step 4: Simplify right side
    772.47x = 445,987.08
  5. Step 5: Solve for x
    x = 445,987.08/772.47
  6. Step 6: Final answer
    x = 577.35

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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.