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Finding the Fourth Proportional to 1,397.43, 2,096.13 and 357.43

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Solution

The fourth proportional to 1,397.43, 2,096.13 and 357.43 is: 536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.43 : 2,096.13 = 357.43 : x
  2. Step 2: Convert to fraction form
    1,397.43/2,096.13 = 357.43/x
  3. Step 3: Cross multiply
    1,397.43x = 2,096.13 × 357.43
  4. Step 4: Simplify right side
    1,397.43x = 749,214.51
  5. Step 5: Solve for x
    x = 749,214.51/1,397.43
  6. Step 6: Final answer
    x = 536.14

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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.