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Finding the Fourth Proportional to 884.19, 1,323.05 and 594.75

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Solution

The fourth proportional to 884.19, 1,323.05 and 594.75 is: 889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.19 : 1,323.05 = 594.75 : x
  2. Step 2: Convert to fraction form
    884.19/1,323.05 = 594.75/x
  3. Step 3: Cross multiply
    884.19x = 1,323.05 × 594.75
  4. Step 4: Simplify right side
    884.19x = 786,881.01
  5. Step 5: Solve for x
    x = 786,881.01/884.19
  6. Step 6: Final answer
    x = 889.95

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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.