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Finding the Fourth Proportional to 986.57, 1,361.50 and 566.93

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Solution

The fourth proportional to 986.57, 1,361.50 and 566.93 is: 782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.57 : 1,361.50 = 566.93 : x
  2. Step 2: Convert to fraction form
    986.57/1,361.50 = 566.93/x
  3. Step 3: Cross multiply
    986.57x = 1,361.50 × 566.93
  4. Step 4: Simplify right side
    986.57x = 771,868.96
  5. Step 5: Solve for x
    x = 771,868.96/986.57
  6. Step 6: Final answer
    x = 782.38

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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.