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Finding the Fourth Proportional to 1,115.02, 1,673.34 and 466.30

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Solution

The fourth proportional to 1,115.02, 1,673.34 and 466.30 is: 699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.02 : 1,673.34 = 466.30 : x
  2. Step 2: Convert to fraction form
    1,115.02/1,673.34 = 466.30/x
  3. Step 3: Cross multiply
    1,115.02x = 1,673.34 × 466.30
  4. Step 4: Simplify right side
    1,115.02x = 780,278.44
  5. Step 5: Solve for x
    x = 780,278.44/1,115.02
  6. Step 6: Final answer
    x = 699.79

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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.