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Finding the Fourth Proportional to 986.83, 1,361.82 and 567.19

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Solution

The fourth proportional to 986.83, 1,361.82 and 567.19 is: 782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.83 : 1,361.82 = 567.19 : x
  2. Step 2: Convert to fraction form
    986.83/1,361.82 = 567.19/x
  3. Step 3: Cross multiply
    986.83x = 1,361.82 × 567.19
  4. Step 4: Simplify right side
    986.83x = 772,410.69
  5. Step 5: Solve for x
    x = 772,410.69/986.83
  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.