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Finding the Fourth Proportional to 1,414.17, 2,120.84 and 536.02

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Solution

The fourth proportional to 1,414.17, 2,120.84 and 536.02 is: 803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.17 : 2,120.84 = 536.02 : x
  2. Step 2: Convert to fraction form
    1,414.17/2,120.84 = 536.02/x
  3. Step 3: Cross multiply
    1,414.17x = 2,120.84 × 536.02
  4. Step 4: Simplify right side
    1,414.17x = 1,136,812.66
  5. Step 5: Solve for x
    x = 1,136,812.66/1,414.17
  6. Step 6: Final answer
    x = 803.87

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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.