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Finding the Fourth Proportional to 940.17, 1,297.17 and 567.30

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Solution

The fourth proportional to 940.17, 1,297.17 and 567.30 is: 782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.17 : 1,297.17 = 567.30 : x
  2. Step 2: Convert to fraction form
    940.17/1,297.17 = 567.30/x
  3. Step 3: Cross multiply
    940.17x = 1,297.17 × 567.30
  4. Step 4: Simplify right side
    940.17x = 735,884.54
  5. Step 5: Solve for x
    x = 735,884.54/940.17
  6. Step 6: Final answer
    x = 782.71

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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.