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Finding the Fourth Proportional to 1,397.71, 2,096.22 and 410.53

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Solution

The fourth proportional to 1,397.71, 2,096.22 and 410.53 is: 615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.71 : 2,096.22 = 410.53 : x
  2. Step 2: Convert to fraction form
    1,397.71/2,096.22 = 410.53/x
  3. Step 3: Cross multiply
    1,397.71x = 2,096.22 × 410.53
  4. Step 4: Simplify right side
    1,397.71x = 860,561.20
  5. Step 5: Solve for x
    x = 860,561.20/1,397.71
  6. Step 6: Final answer
    x = 615.69

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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.