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Finding the Fourth Proportional to 940.02, 1,297.14 and 567

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Solution

The fourth proportional to 940.02, 1,297.14 and 567 is: 782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.02 : 1,297.14 = 567 : x
  2. Step 2: Convert to fraction form
    940.02/1,297.14 = 567/x
  3. Step 3: Cross multiply
    940.02x = 1,297.14 × 567
  4. Step 4: Simplify right side
    940.02x = 735,478.38
  5. Step 5: Solve for x
    x = 735,478.38/940.02
  6. Step 6: Final answer
    x = 782.41

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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.