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Finding the Fourth Proportional to 706.59, 1,058.49 and 341.73

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Solution

The fourth proportional to 706.59, 1,058.49 and 341.73 is: 511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.59 : 1,058.49 = 341.73 : x
  2. Step 2: Convert to fraction form
    706.59/1,058.49 = 341.73/x
  3. Step 3: Cross multiply
    706.59x = 1,058.49 × 341.73
  4. Step 4: Simplify right side
    706.59x = 361,717.79
  5. Step 5: Solve for x
    x = 361,717.79/706.59
  6. Step 6: Final answer
    x = 511.92

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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.