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Finding the Fourth Proportional to 1,394.13, 2,090.38 and 469.17

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Solution

The fourth proportional to 1,394.13, 2,090.38 and 469.17 is: 703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.13 : 2,090.38 = 469.17 : x
  2. Step 2: Convert to fraction form
    1,394.13/2,090.38 = 469.17/x
  3. Step 3: Cross multiply
    1,394.13x = 2,090.38 × 469.17
  4. Step 4: Simplify right side
    1,394.13x = 980,743.58
  5. Step 5: Solve for x
    x = 980,743.58/1,394.13
  6. Step 6: Final answer
    x = 703.48

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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.