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Finding the Fourth Proportional to 693.40, 1,039.59 and 327.76

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Solution

The fourth proportional to 693.40, 1,039.59 and 327.76 is: 491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.40 : 1,039.59 = 327.76 : x
  2. Step 2: Convert to fraction form
    693.40/1,039.59 = 327.76/x
  3. Step 3: Cross multiply
    693.40x = 1,039.59 × 327.76
  4. Step 4: Simplify right side
    693.40x = 340,737.68
  5. Step 5: Solve for x
    x = 340,737.68/693.40
  6. Step 6: Final answer
    x = 491.40

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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.