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Finding the Fourth Proportional to 689.19, 1,033.78 and 484.67

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Solution

The fourth proportional to 689.19, 1,033.78 and 484.67 is: 727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.19 : 1,033.78 = 484.67 : x
  2. Step 2: Convert to fraction form
    689.19/1,033.78 = 484.67/x
  3. Step 3: Cross multiply
    689.19x = 1,033.78 × 484.67
  4. Step 4: Simplify right side
    689.19x = 501,043.53
  5. Step 5: Solve for x
    x = 501,043.53/689.19
  6. Step 6: Final answer
    x = 727.00

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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.