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Finding the Fourth Proportional to 693.06, 1,039.26 and 281.86

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Solution

The fourth proportional to 693.06, 1,039.26 and 281.86 is: 422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.06 : 1,039.26 = 281.86 : x
  2. Step 2: Convert to fraction form
    693.06/1,039.26 = 281.86/x
  3. Step 3: Cross multiply
    693.06x = 1,039.26 × 281.86
  4. Step 4: Simplify right side
    693.06x = 292,925.82
  5. Step 5: Solve for x
    x = 292,925.82/693.06
  6. Step 6: Final answer
    x = 422.66

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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.