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Finding the Fourth Proportional to 665.86, 919.05 and 489.08

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Solution

The fourth proportional to 665.86, 919.05 and 489.08 is: 675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.86 : 919.05 = 489.08 : x
  2. Step 2: Convert to fraction form
    665.86/919.05 = 489.08/x
  3. Step 3: Cross multiply
    665.86x = 919.05 × 489.08
  4. Step 4: Simplify right side
    665.86x = 449,488.97
  5. Step 5: Solve for x
    x = 449,488.97/665.86
  6. Step 6: Final answer
    x = 675.05

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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.