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Finding the Fourth Proportional to 1,235.25, 1,704.65 and 711.27

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Solution

The fourth proportional to 1,235.25, 1,704.65 and 711.27 is: 981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.25 : 1,704.65 = 711.27 : x
  2. Step 2: Convert to fraction form
    1,235.25/1,704.65 = 711.27/x
  3. Step 3: Cross multiply
    1,235.25x = 1,704.65 × 711.27
  4. Step 4: Simplify right side
    1,235.25x = 1,212,462.85
  5. Step 5: Solve for x
    x = 1,212,462.85/1,235.25
  6. Step 6: Final answer
    x = 981.55

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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.