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Finding the Fourth Proportional to 696.02, 1,044.16 and 326.05

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Solution

The fourth proportional to 696.02, 1,044.16 and 326.05 is: 489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.02 : 1,044.16 = 326.05 : x
  2. Step 2: Convert to fraction form
    696.02/1,044.16 = 326.05/x
  3. Step 3: Cross multiply
    696.02x = 1,044.16 × 326.05
  4. Step 4: Simplify right side
    696.02x = 340,444.94
  5. Step 5: Solve for x
    x = 340,444.94/696.02
  6. Step 6: Final answer
    x = 489.13

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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.