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Finding the Fourth Proportional to 1,556.01, 2,334.29 and 863.46

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Solution

The fourth proportional to 1,556.01, 2,334.29 and 863.46 is: 1,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.01 : 2,334.29 = 863.46 : x
  2. Step 2: Convert to fraction form
    1,556.01/2,334.29 = 863.46/x
  3. Step 3: Cross multiply
    1,556.01x = 2,334.29 × 863.46
  4. Step 4: Simplify right side
    1,556.01x = 2,015,561.73
  5. Step 5: Solve for x
    x = 2,015,561.73/1,556.01
  6. Step 6: Final answer
    x = 1,295.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.