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Finding the Fourth Proportional to 1,384.40, 2,076.80 and 410.37

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Solution

The fourth proportional to 1,384.40, 2,076.80 and 410.37 is: 615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.40 : 2,076.80 = 410.37 : x
  2. Step 2: Convert to fraction form
    1,384.40/2,076.80 = 410.37/x
  3. Step 3: Cross multiply
    1,384.40x = 2,076.80 × 410.37
  4. Step 4: Simplify right side
    1,384.40x = 852,256.42
  5. Step 5: Solve for x
    x = 852,256.42/1,384.40
  6. Step 6: Final answer
    x = 615.62

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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.