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Finding the Fourth Proportional to 647.21, 974.31 and 589.80

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Solution

The fourth proportional to 647.21, 974.31 and 589.80 is: 887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.21 : 974.31 = 589.80 : x
  2. Step 2: Convert to fraction form
    647.21/974.31 = 589.80/x
  3. Step 3: Cross multiply
    647.21x = 974.31 × 589.80
  4. Step 4: Simplify right side
    647.21x = 574,647.32
  5. Step 5: Solve for x
    x = 574,647.32/647.21
  6. Step 6: Final answer
    x = 887.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.