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Finding the Fourth Proportional to 1,073.90, 1,612.67 and 704.34

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Solution

The fourth proportional to 1,073.90, 1,612.67 and 704.34 is: 1,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.90 : 1,612.67 = 704.34 : x
  2. Step 2: Convert to fraction form
    1,073.90/1,612.67 = 704.34/x
  3. Step 3: Cross multiply
    1,073.90x = 1,612.67 × 704.34
  4. Step 4: Simplify right side
    1,073.90x = 1,135,864.47
  5. Step 5: Solve for x
    x = 1,135,864.47/1,073.90
  6. Step 6: Final answer
    x = 1,057.70

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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.