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Finding the Fourth Proportional to 1,463.90, 2,196.18 and 683.34

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Solution

The fourth proportional to 1,463.90, 2,196.18 and 683.34 is: 1,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.90 : 2,196.18 = 683.34 : x
  2. Step 2: Convert to fraction form
    1,463.90/2,196.18 = 683.34/x
  3. Step 3: Cross multiply
    1,463.90x = 2,196.18 × 683.34
  4. Step 4: Simplify right side
    1,463.90x = 1,500,737.64
  5. Step 5: Solve for x
    x = 1,500,737.64/1,463.90
  6. Step 6: Final answer
    x = 1,025.16

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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.