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Finding the Fourth Proportional to 1,138.78, 1,708.26 and 561.34

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Solution

The fourth proportional to 1,138.78, 1,708.26 and 561.34 is: 842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.78 : 1,708.26 = 561.34 : x
  2. Step 2: Convert to fraction form
    1,138.78/1,708.26 = 561.34/x
  3. Step 3: Cross multiply
    1,138.78x = 1,708.26 × 561.34
  4. Step 4: Simplify right side
    1,138.78x = 958,914.67
  5. Step 5: Solve for x
    x = 958,914.67/1,138.78
  6. Step 6: Final answer
    x = 842.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.