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Finding the Fourth Proportional to 693.24, 1,039.47 and 281.89

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Solution

The fourth proportional to 693.24, 1,039.47 and 281.89 is: 422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.24 : 1,039.47 = 281.89 : x
  2. Step 2: Convert to fraction form
    693.24/1,039.47 = 281.89/x
  3. Step 3: Cross multiply
    693.24x = 1,039.47 × 281.89
  4. Step 4: Simplify right side
    693.24x = 293,014.79
  5. Step 5: Solve for x
    x = 293,014.79/693.24
  6. Step 6: Final answer
    x = 422.68

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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.