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Finding the Fourth Proportional to 1,261.23, 1,741.04 and 847.47

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Solution

The fourth proportional to 1,261.23, 1,741.04 and 847.47 is: 1,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.23 : 1,741.04 = 847.47 : x
  2. Step 2: Convert to fraction form
    1,261.23/1,741.04 = 847.47/x
  3. Step 3: Cross multiply
    1,261.23x = 1,741.04 × 847.47
  4. Step 4: Simplify right side
    1,261.23x = 1,475,474.93
  5. Step 5: Solve for x
    x = 1,475,474.93/1,261.23
  6. Step 6: Final answer
    x = 1,169.87

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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.