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Finding the Fourth Proportional to 1,487.38, 2,228.62 and 512.94

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Solution

The fourth proportional to 1,487.38, 2,228.62 and 512.94 is: 768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.38 : 2,228.62 = 512.94 : x
  2. Step 2: Convert to fraction form
    1,487.38/2,228.62 = 512.94/x
  3. Step 3: Cross multiply
    1,487.38x = 2,228.62 × 512.94
  4. Step 4: Simplify right side
    1,487.38x = 1,143,148.34
  5. Step 5: Solve for x
    x = 1,143,148.34/1,487.38
  6. Step 6: Final answer
    x = 768.57

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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.