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Finding the Fourth Proportional to 1,035.82, 1,553.31 and 419.36

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Solution

The fourth proportional to 1,035.82, 1,553.31 and 419.36 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.82 : 1,553.31 = 419.36 : x
  2. Step 2: Convert to fraction form
    1,035.82/1,553.31 = 419.36/x
  3. Step 3: Cross multiply
    1,035.82x = 1,553.31 × 419.36
  4. Step 4: Simplify right side
    1,035.82x = 651,397.05
  5. Step 5: Solve for x
    x = 651,397.05/1,035.82
  6. Step 6: Final answer
    x = 628.87

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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.