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Finding the Fourth Proportional to 705.76, 1,058.66 and 397.56

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Solution

The fourth proportional to 705.76, 1,058.66 and 397.56 is: 596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.76 : 1,058.66 = 397.56 : x
  2. Step 2: Convert to fraction form
    705.76/1,058.66 = 397.56/x
  3. Step 3: Cross multiply
    705.76x = 1,058.66 × 397.56
  4. Step 4: Simplify right side
    705.76x = 420,880.87
  5. Step 5: Solve for x
    x = 420,880.87/705.76
  6. Step 6: Final answer
    x = 596.35

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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.