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Finding the Fourth Proportional to 1,384.46, 2,076.74 and 410.48

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Solution

The fourth proportional to 1,384.46, 2,076.74 and 410.48 is: 615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.46 : 2,076.74 = 410.48 : x
  2. Step 2: Convert to fraction form
    1,384.46/2,076.74 = 410.48/x
  3. Step 3: Cross multiply
    1,384.46x = 2,076.74 × 410.48
  4. Step 4: Simplify right side
    1,384.46x = 852,458.18
  5. Step 5: Solve for x
    x = 852,458.18/1,384.46
  6. Step 6: Final answer
    x = 615.73

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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.