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Finding the Fourth Proportional to 1,384.44, 2,076.96 and 410.46

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Solution

The fourth proportional to 1,384.44, 2,076.96 and 410.46 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.44 : 2,076.96 = 410.46 : x
  2. Step 2: Convert to fraction form
    1,384.44/2,076.96 = 410.46/x
  3. Step 3: Cross multiply
    1,384.44x = 2,076.96 × 410.46
  4. Step 4: Simplify right side
    1,384.44x = 852,509.00
  5. Step 5: Solve for x
    x = 852,509.00/1,384.44
  6. Step 6: Final answer
    x = 615.78

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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.