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Finding the Fourth Proportional to 689.04, 1,033.61 and 323.91

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Solution

The fourth proportional to 689.04, 1,033.61 and 323.91 is: 485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.04 : 1,033.61 = 323.91 : x
  2. Step 2: Convert to fraction form
    689.04/1,033.61 = 323.91/x
  3. Step 3: Cross multiply
    689.04x = 1,033.61 × 323.91
  4. Step 4: Simplify right side
    689.04x = 334,795.00
  5. Step 5: Solve for x
    x = 334,795.00/689.04
  6. Step 6: Final answer
    x = 485.89

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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.