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Finding the Fourth Proportional to 1,094.10, 1,639.84 and 630.92

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Solution

The fourth proportional to 1,094.10, 1,639.84 and 630.92 is: 945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.10 : 1,639.84 = 630.92 : x
  2. Step 2: Convert to fraction form
    1,094.10/1,639.84 = 630.92/x
  3. Step 3: Cross multiply
    1,094.10x = 1,639.84 × 630.92
  4. Step 4: Simplify right side
    1,094.10x = 1,034,607.85
  5. Step 5: Solve for x
    x = 1,034,607.85/1,094.10
  6. Step 6: Final answer
    x = 945.62

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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.