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Finding the Fourth Proportional to 986.85, 1,361.75 and 567.14

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Solution

The fourth proportional to 986.85, 1,361.75 and 567.14 is: 782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.85 : 1,361.75 = 567.14 : x
  2. Step 2: Convert to fraction form
    986.85/1,361.75 = 567.14/x
  3. Step 3: Cross multiply
    986.85x = 1,361.75 × 567.14
  4. Step 4: Simplify right side
    986.85x = 772,293.25
  5. Step 5: Solve for x
    x = 772,293.25/986.85
  6. Step 6: Final answer
    x = 782.58

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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.