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Finding the Fourth Proportional to 1,056.89, 1,583.93 and 594.44

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Solution

The fourth proportional to 1,056.89, 1,583.93 and 594.44 is: 890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.89 : 1,583.93 = 594.44 : x
  2. Step 2: Convert to fraction form
    1,056.89/1,583.93 = 594.44/x
  3. Step 3: Cross multiply
    1,056.89x = 1,583.93 × 594.44
  4. Step 4: Simplify right side
    1,056.89x = 941,540.46
  5. Step 5: Solve for x
    x = 941,540.46/1,056.89
  6. Step 6: Final answer
    x = 890.86

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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.