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Finding the Fourth Proportional to 1,239.36, 1,709.82 and 845.70

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Solution

The fourth proportional to 1,239.36, 1,709.82 and 845.70 is: 1,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.36 : 1,709.82 = 845.70 : x
  2. Step 2: Convert to fraction form
    1,239.36/1,709.82 = 845.70/x
  3. Step 3: Cross multiply
    1,239.36x = 1,709.82 × 845.70
  4. Step 4: Simplify right side
    1,239.36x = 1,445,994.77
  5. Step 5: Solve for x
    x = 1,445,994.77/1,239.36
  6. Step 6: Final answer
    x = 1,166.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.