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Finding the Fourth Proportional to 660.64, 989.93 and 557.44

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Solution

The fourth proportional to 660.64, 989.93 and 557.44 is: 835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.64 : 989.93 = 557.44 : x
  2. Step 2: Convert to fraction form
    660.64/989.93 = 557.44/x
  3. Step 3: Cross multiply
    660.64x = 989.93 × 557.44
  4. Step 4: Simplify right side
    660.64x = 551,826.58
  5. Step 5: Solve for x
    x = 551,826.58/660.64
  6. Step 6: Final answer
    x = 835.29

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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.