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Finding the Fourth Proportional to 1,558.70, 2,151.00 and 850.54

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Solution

The fourth proportional to 1,558.70, 2,151.00 and 850.54 is: 1,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.70 : 2,151.00 = 850.54 : x
  2. Step 2: Convert to fraction form
    1,558.70/2,151.00 = 850.54/x
  3. Step 3: Cross multiply
    1,558.70x = 2,151.00 × 850.54
  4. Step 4: Simplify right side
    1,558.70x = 1,829,511.00
  5. Step 5: Solve for x
    x = 1,829,511.00/1,558.70
  6. Step 6: Final answer
    x = 1,173.74

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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.