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Finding the Fourth Proportional to 1,390.82, 2,087.44 and 742.01

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Solution

The fourth proportional to 1,390.82, 2,087.44 and 742.01 is: 1,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.82 : 2,087.44 = 742.01 : x
  2. Step 2: Convert to fraction form
    1,390.82/2,087.44 = 742.01/x
  3. Step 3: Cross multiply
    1,390.82x = 2,087.44 × 742.01
  4. Step 4: Simplify right side
    1,390.82x = 1,548,889.06
  5. Step 5: Solve for x
    x = 1,548,889.06/1,390.82
  6. Step 6: Final answer
    x = 1,113.66

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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.