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Finding the Fourth Proportional to 842.68, 1,261.86 and 704.98

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Solution

The fourth proportional to 842.68, 1,261.86 and 704.98 is: 1,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.68 : 1,261.86 = 704.98 : x
  2. Step 2: Convert to fraction form
    842.68/1,261.86 = 704.98/x
  3. Step 3: Cross multiply
    842.68x = 1,261.86 × 704.98
  4. Step 4: Simplify right side
    842.68x = 889,586.06
  5. Step 5: Solve for x
    x = 889,586.06/842.68
  6. Step 6: Final answer
    x = 1,055.66

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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.