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Finding the Fourth Proportional to 660.07, 989.94 and 455.95

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Solution

The fourth proportional to 660.07, 989.94 and 455.95 is: 683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.07 : 989.94 = 455.95 : x
  2. Step 2: Convert to fraction form
    660.07/989.94 = 455.95/x
  3. Step 3: Cross multiply
    660.07x = 989.94 × 455.95
  4. Step 4: Simplify right side
    660.07x = 451,363.14
  5. Step 5: Solve for x
    x = 451,363.14/660.07
  6. Step 6: Final answer
    x = 683.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.