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Finding the Fourth Proportional to 1,235.56, 1,705.24 and 711.58

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Solution

The fourth proportional to 1,235.56, 1,705.24 and 711.58 is: 982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.56 : 1,705.24 = 711.58 : x
  2. Step 2: Convert to fraction form
    1,235.56/1,705.24 = 711.58/x
  3. Step 3: Cross multiply
    1,235.56x = 1,705.24 × 711.58
  4. Step 4: Simplify right side
    1,235.56x = 1,213,414.68
  5. Step 5: Solve for x
    x = 1,213,414.68/1,235.56
  6. Step 6: Final answer
    x = 982.08

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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.