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Finding the Fourth Proportional to 1,261.46, 1,741.30 and 737.66

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Solution

The fourth proportional to 1,261.46, 1,741.30 and 737.66 is: 1,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.46 : 1,741.30 = 737.66 : x
  2. Step 2: Convert to fraction form
    1,261.46/1,741.30 = 737.66/x
  3. Step 3: Cross multiply
    1,261.46x = 1,741.30 × 737.66
  4. Step 4: Simplify right side
    1,261.46x = 1,284,487.36
  5. Step 5: Solve for x
    x = 1,284,487.36/1,261.46
  6. Step 6: Final answer
    x = 1,018.25

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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.