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Finding the Fourth Proportional to 662.60, 994.06 and 470.60

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Solution

The fourth proportional to 662.60, 994.06 and 470.60 is: 706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.60 : 994.06 = 470.60 : x
  2. Step 2: Convert to fraction form
    662.60/994.06 = 470.60/x
  3. Step 3: Cross multiply
    662.60x = 994.06 × 470.60
  4. Step 4: Simplify right side
    662.60x = 467,804.64
  5. Step 5: Solve for x
    x = 467,804.64/662.60
  6. Step 6: Final answer
    x = 706.01

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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.