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Finding the Fourth Proportional to 1,200.56, 1,790.37 and 1,148.31

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Solution

The fourth proportional to 1,200.56, 1,790.37 and 1,148.31 is: 1,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.56 : 1,790.37 = 1,148.31 : x
  2. Step 2: Convert to fraction form
    1,200.56/1,790.37 = 1,148.31/x
  3. Step 3: Cross multiply
    1,200.56x = 1,790.37 × 1,148.31
  4. Step 4: Simplify right side
    1,200.56x = 2,055,899.77
  5. Step 5: Solve for x
    x = 2,055,899.77/1,200.56
  6. Step 6: Final answer
    x = 1,712.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.