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Finding the Fourth Proportional to 1,384.07, 2,077.01 and 518.38

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Solution

The fourth proportional to 1,384.07, 2,077.01 and 518.38 is: 777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.07 : 2,077.01 = 518.38 : x
  2. Step 2: Convert to fraction form
    1,384.07/2,077.01 = 518.38/x
  3. Step 3: Cross multiply
    1,384.07x = 2,077.01 × 518.38
  4. Step 4: Simplify right side
    1,384.07x = 1,076,667.47
  5. Step 5: Solve for x
    x = 1,076,667.47/1,384.07
  6. Step 6: Final answer
    x = 777.90

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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.