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Finding the Fourth Proportional to 1,394.28, 2,090.48 and 469.40

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Solution

The fourth proportional to 1,394.28, 2,090.48 and 469.40 is: 703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.28 : 2,090.48 = 469.40 : x
  2. Step 2: Convert to fraction form
    1,394.28/2,090.48 = 469.40/x
  3. Step 3: Cross multiply
    1,394.28x = 2,090.48 × 469.40
  4. Step 4: Simplify right side
    1,394.28x = 981,258.51
  5. Step 5: Solve for x
    x = 981,258.51/1,394.28
  6. Step 6: Final answer
    x = 703.77

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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.