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Finding the Fourth Proportional to 940.14, 1,297.48 and 567.14

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Solution

The fourth proportional to 940.14, 1,297.48 and 567.14 is: 782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.14 : 1,297.48 = 567.14 : x
  2. Step 2: Convert to fraction form
    940.14/1,297.48 = 567.14/x
  3. Step 3: Cross multiply
    940.14x = 1,297.48 × 567.14
  4. Step 4: Simplify right side
    940.14x = 735,852.81
  5. Step 5: Solve for x
    x = 735,852.81/940.14
  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.