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Finding the Fourth Proportional to 1,138.11, 1,706.15 and 397.21

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Solution

The fourth proportional to 1,138.11, 1,706.15 and 397.21 is: 595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.11 : 1,706.15 = 397.21 : x
  2. Step 2: Convert to fraction form
    1,138.11/1,706.15 = 397.21/x
  3. Step 3: Cross multiply
    1,138.11x = 1,706.15 × 397.21
  4. Step 4: Simplify right side
    1,138.11x = 677,691.31
  5. Step 5: Solve for x
    x = 677,691.31/1,138.11
  6. Step 6: Final answer
    x = 595.46

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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.