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Finding the Fourth Proportional to 989.02, 1,364.78 and 546.87

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Solution

The fourth proportional to 989.02, 1,364.78 and 546.87 is: 754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.02 : 1,364.78 = 546.87 : x
  2. Step 2: Convert to fraction form
    989.02/1,364.78 = 546.87/x
  3. Step 3: Cross multiply
    989.02x = 1,364.78 × 546.87
  4. Step 4: Simplify right side
    989.02x = 746,350.41
  5. Step 5: Solve for x
    x = 746,350.41/989.02
  6. Step 6: Final answer
    x = 754.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.