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Finding the Fourth Proportional to 1,012.34, 1,518.38 and 281.86

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Solution

The fourth proportional to 1,012.34, 1,518.38 and 281.86 is: 422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.34 : 1,518.38 = 281.86 : x
  2. Step 2: Convert to fraction form
    1,012.34/1,518.38 = 281.86/x
  3. Step 3: Cross multiply
    1,012.34x = 1,518.38 × 281.86
  4. Step 4: Simplify right side
    1,012.34x = 427,970.59
  5. Step 5: Solve for x
    x = 427,970.59/1,012.34
  6. Step 6: Final answer
    x = 422.75

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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.