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Finding the Fourth Proportional to 1,394.18, 1,924.45 and 804.95

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Solution

The fourth proportional to 1,394.18, 1,924.45 and 804.95 is: 1,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.18 : 1,924.45 = 804.95 : x
  2. Step 2: Convert to fraction form
    1,394.18/1,924.45 = 804.95/x
  3. Step 3: Cross multiply
    1,394.18x = 1,924.45 × 804.95
  4. Step 4: Simplify right side
    1,394.18x = 1,549,086.03
  5. Step 5: Solve for x
    x = 1,549,086.03/1,394.18
  6. Step 6: Final answer
    x = 1,111.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.