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Finding the Fourth Proportional to 1,397.87, 2,096.28 and 410.43

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Solution

The fourth proportional to 1,397.87, 2,096.28 and 410.43 is: 615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.87 : 2,096.28 = 410.43 : x
  2. Step 2: Convert to fraction form
    1,397.87/2,096.28 = 410.43/x
  3. Step 3: Cross multiply
    1,397.87x = 2,096.28 × 410.43
  4. Step 4: Simplify right side
    1,397.87x = 860,384.06
  5. Step 5: Solve for x
    x = 860,384.06/1,397.87
  6. Step 6: Final answer
    x = 615.50

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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.