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Finding the Fourth Proportional to 1,138.76, 1,573.02 and 845.54

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Solution

The fourth proportional to 1,138.76, 1,573.02 and 845.54 is: 1,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.76 : 1,573.02 = 845.54 : x
  2. Step 2: Convert to fraction form
    1,138.76/1,573.02 = 845.54/x
  3. Step 3: Cross multiply
    1,138.76x = 1,573.02 × 845.54
  4. Step 4: Simplify right side
    1,138.76x = 1,330,051.33
  5. Step 5: Solve for x
    x = 1,330,051.33/1,138.76
  6. Step 6: Final answer
    x = 1,167.98

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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.