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Finding the Fourth Proportional to 986.85, 1,361.77 and 567.23

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Solution

The fourth proportional to 986.85, 1,361.77 and 567.23 is: 782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.85 : 1,361.77 = 567.23 : x
  2. Step 2: Convert to fraction form
    986.85/1,361.77 = 567.23/x
  3. Step 3: Cross multiply
    986.85x = 1,361.77 × 567.23
  4. Step 4: Simplify right side
    986.85x = 772,428.57
  5. Step 5: Solve for x
    x = 772,428.57/986.85
  6. Step 6: Final answer
    x = 782.72

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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.