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Finding the Fourth Proportional to 689.56, 1,033.86 and 324

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Solution

The fourth proportional to 689.56, 1,033.86 and 324 is: 485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.56 : 1,033.86 = 324 : x
  2. Step 2: Convert to fraction form
    689.56/1,033.86 = 324/x
  3. Step 3: Cross multiply
    689.56x = 1,033.86 × 324
  4. Step 4: Simplify right side
    689.56x = 334,971.86
  5. Step 5: Solve for x
    x = 334,971.86/689.56
  6. Step 6: Final answer
    x = 485.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.