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Finding the Fourth Proportional to 1,235.38, 1,704.82 and 711.51

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Solution

The fourth proportional to 1,235.38, 1,704.82 and 711.51 is: 981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.38 : 1,704.82 = 711.51 : x
  2. Step 2: Convert to fraction form
    1,235.38/1,704.82 = 711.51/x
  3. Step 3: Cross multiply
    1,235.38x = 1,704.82 × 711.51
  4. Step 4: Simplify right side
    1,235.38x = 1,212,996.48
  5. Step 5: Solve for x
    x = 1,212,996.48/1,235.38
  6. Step 6: Final answer
    x = 981.89

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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.