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Finding the Fourth Proportional to 1,235.36, 1,704.26 and 737.90

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Solution

The fourth proportional to 1,235.36, 1,704.26 and 737.90 is: 1,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.36 : 1,704.26 = 737.90 : x
  2. Step 2: Convert to fraction form
    1,235.36/1,704.26 = 737.90/x
  3. Step 3: Cross multiply
    1,235.36x = 1,704.26 × 737.90
  4. Step 4: Simplify right side
    1,235.36x = 1,257,561.24
  5. Step 5: Solve for x
    x = 1,257,561.24/1,235.36
  6. Step 6: Final answer
    x = 1,017.98

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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.