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Finding the Fourth Proportional to 1,181.30, 1,630.17 and 683.93

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Solution

The fourth proportional to 1,181.30, 1,630.17 and 683.93 is: 943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.30 : 1,630.17 = 683.93 : x
  2. Step 2: Convert to fraction form
    1,181.30/1,630.17 = 683.93/x
  3. Step 3: Cross multiply
    1,181.30x = 1,630.17 × 683.93
  4. Step 4: Simplify right side
    1,181.30x = 1,114,922.17
  5. Step 5: Solve for x
    x = 1,114,922.17/1,181.30
  6. Step 6: Final answer
    x = 943.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.