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Finding the Fourth Proportional to 884.04, 1,219.98 and 491.07

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Solution

The fourth proportional to 884.04, 1,219.98 and 491.07 is: 677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.04 : 1,219.98 = 491.07 : x
  2. Step 2: Convert to fraction form
    884.04/1,219.98 = 491.07/x
  3. Step 3: Cross multiply
    884.04x = 1,219.98 × 491.07
  4. Step 4: Simplify right side
    884.04x = 599,095.58
  5. Step 5: Solve for x
    x = 599,095.58/884.04
  6. Step 6: Final answer
    x = 677.68

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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.