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Finding the Fourth Proportional to 591.90, 889.77 and 589.02

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Solution

The fourth proportional to 591.90, 889.77 and 589.02 is: 885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.90 : 889.77 = 589.02 : x
  2. Step 2: Convert to fraction form
    591.90/889.77 = 589.02/x
  3. Step 3: Cross multiply
    591.90x = 889.77 × 589.02
  4. Step 4: Simplify right side
    591.90x = 524,092.33
  5. Step 5: Solve for x
    x = 524,092.33/591.90
  6. Step 6: Final answer
    x = 885.44

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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.