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Finding the Fourth Proportional to 670.63, 1,005.73 and 466.51

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Solution

The fourth proportional to 670.63, 1,005.73 and 466.51 is: 699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.63 : 1,005.73 = 466.51 : x
  2. Step 2: Convert to fraction form
    670.63/1,005.73 = 466.51/x
  3. Step 3: Cross multiply
    670.63x = 1,005.73 × 466.51
  4. Step 4: Simplify right side
    670.63x = 469,183.10
  5. Step 5: Solve for x
    x = 469,183.10/670.63
  6. Step 6: Final answer
    x = 699.62

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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.