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Finding the Fourth Proportional to 940.37, 1,297.29 and 567.11

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Solution

The fourth proportional to 940.37, 1,297.29 and 567.11 is: 782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.37 : 1,297.29 = 567.11 : x
  2. Step 2: Convert to fraction form
    940.37/1,297.29 = 567.11/x
  3. Step 3: Cross multiply
    940.37x = 1,297.29 × 567.11
  4. Step 4: Simplify right side
    940.37x = 735,706.13
  5. Step 5: Solve for x
    x = 735,706.13/940.37
  6. Step 6: Final answer
    x = 782.36

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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.