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Finding the Fourth Proportional to 689.55, 1,033.56 and 324.02

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Solution

The fourth proportional to 689.55, 1,033.56 and 324.02 is: 485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.55 : 1,033.56 = 324.02 : x
  2. Step 2: Convert to fraction form
    689.55/1,033.56 = 324.02/x
  3. Step 3: Cross multiply
    689.55x = 1,033.56 × 324.02
  4. Step 4: Simplify right side
    689.55x = 334,894.11
  5. Step 5: Solve for x
    x = 334,894.11/689.55
  6. Step 6: Final answer
    x = 485.67

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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.