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Finding the Fourth Proportional to 1,073.34, 1,609.70 and 415.17

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Solution

The fourth proportional to 1,073.34, 1,609.70 and 415.17 is: 622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.34 : 1,609.70 = 415.17 : x
  2. Step 2: Convert to fraction form
    1,073.34/1,609.70 = 415.17/x
  3. Step 3: Cross multiply
    1,073.34x = 1,609.70 × 415.17
  4. Step 4: Simplify right side
    1,073.34x = 668,297.07
  5. Step 5: Solve for x
    x = 668,297.07/1,073.34
  6. Step 6: Final answer
    x = 622.63

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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.