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Finding the Fourth Proportional to 1,328.56, 1,993.36 and 463.44

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Solution

The fourth proportional to 1,328.56, 1,993.36 and 463.44 is: 695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.56 : 1,993.36 = 463.44 : x
  2. Step 2: Convert to fraction form
    1,328.56/1,993.36 = 463.44/x
  3. Step 3: Cross multiply
    1,328.56x = 1,993.36 × 463.44
  4. Step 4: Simplify right side
    1,328.56x = 923,802.76
  5. Step 5: Solve for x
    x = 923,802.76/1,328.56
  6. Step 6: Final answer
    x = 695.34

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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.