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Finding the Fourth Proportional to 706.41, 1,058.79 and 576.68

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Solution

The fourth proportional to 706.41, 1,058.79 and 576.68 is: 864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.41 : 1,058.79 = 576.68 : x
  2. Step 2: Convert to fraction form
    706.41/1,058.79 = 576.68/x
  3. Step 3: Cross multiply
    706.41x = 1,058.79 × 576.68
  4. Step 4: Simplify right side
    706.41x = 610,577.72
  5. Step 5: Solve for x
    x = 610,577.72/706.41
  6. Step 6: Final answer
    x = 864.34

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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.