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Finding the Fourth Proportional to 1,428.66, 2,143.32 and 504.21

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Solution

The fourth proportional to 1,428.66, 2,143.32 and 504.21 is: 756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.66 : 2,143.32 = 504.21 : x
  2. Step 2: Convert to fraction form
    1,428.66/2,143.32 = 504.21/x
  3. Step 3: Cross multiply
    1,428.66x = 2,143.32 × 504.21
  4. Step 4: Simplify right side
    1,428.66x = 1,080,683.38
  5. Step 5: Solve for x
    x = 1,080,683.38/1,428.66
  6. Step 6: Final answer
    x = 756.43

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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.