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Finding the Fourth Proportional to 884.66, 1,328.06 and 588.42

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Solution

The fourth proportional to 884.66, 1,328.06 and 588.42 is: 883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.66 : 1,328.06 = 588.42 : x
  2. Step 2: Convert to fraction form
    884.66/1,328.06 = 588.42/x
  3. Step 3: Cross multiply
    884.66x = 1,328.06 × 588.42
  4. Step 4: Simplify right side
    884.66x = 781,458.54
  5. Step 5: Solve for x
    x = 781,458.54/884.66
  6. Step 6: Final answer
    x = 883.35

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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.