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Finding the Fourth Proportional to 1,394.23, 2,090.94 and 420.07

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Solution

The fourth proportional to 1,394.23, 2,090.94 and 420.07 is: 629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.23 : 2,090.94 = 420.07 : x
  2. Step 2: Convert to fraction form
    1,394.23/2,090.94 = 420.07/x
  3. Step 3: Cross multiply
    1,394.23x = 2,090.94 × 420.07
  4. Step 4: Simplify right side
    1,394.23x = 878,341.17
  5. Step 5: Solve for x
    x = 878,341.17/1,394.23
  6. Step 6: Final answer
    x = 629.98

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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.