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Finding the Fourth Proportional to 693.06, 1,038.87 and 281.94

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Solution

The fourth proportional to 693.06, 1,038.87 and 281.94 is: 422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.06 : 1,038.87 = 281.94 : x
  2. Step 2: Convert to fraction form
    693.06/1,038.87 = 281.94/x
  3. Step 3: Cross multiply
    693.06x = 1,038.87 × 281.94
  4. Step 4: Simplify right side
    693.06x = 292,899.01
  5. Step 5: Solve for x
    x = 292,899.01/693.06
  6. Step 6: Final answer
    x = 422.62

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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.