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Finding the Fourth Proportional to 1,235.75, 1,705.32 and 711.77

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Solution

The fourth proportional to 1,235.75, 1,705.32 and 711.77 is: 982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.75 : 1,705.32 = 711.77 : x
  2. Step 2: Convert to fraction form
    1,235.75/1,705.32 = 711.77/x
  3. Step 3: Cross multiply
    1,235.75x = 1,705.32 × 711.77
  4. Step 4: Simplify right side
    1,235.75x = 1,213,787.09
  5. Step 5: Solve for x
    x = 1,213,787.09/1,235.75
  6. Step 6: Final answer
    x = 982.23

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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.