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Finding the Fourth Proportional to 699.63, 1,048.22 and 329.05

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Solution

The fourth proportional to 699.63, 1,048.22 and 329.05 is: 493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.63 : 1,048.22 = 329.05 : x
  2. Step 2: Convert to fraction form
    699.63/1,048.22 = 329.05/x
  3. Step 3: Cross multiply
    699.63x = 1,048.22 × 329.05
  4. Step 4: Simplify right side
    699.63x = 344,916.79
  5. Step 5: Solve for x
    x = 344,916.79/699.63
  6. Step 6: Final answer
    x = 493.00

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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.