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Finding the Fourth Proportional to 1,035.75, 1,553.63 and 451.34

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Solution

The fourth proportional to 1,035.75, 1,553.63 and 451.34 is: 677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.75 : 1,553.63 = 451.34 : x
  2. Step 2: Convert to fraction form
    1,035.75/1,553.63 = 451.34/x
  3. Step 3: Cross multiply
    1,035.75x = 1,553.63 × 451.34
  4. Step 4: Simplify right side
    1,035.75x = 701,215.36
  5. Step 5: Solve for x
    x = 701,215.36/1,035.75
  6. Step 6: Final answer
    x = 677.01

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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.