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Finding the Fourth Proportional to 706.23, 1,058.97 and 432.45

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Solution

The fourth proportional to 706.23, 1,058.97 and 432.45 is: 648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.23 : 1,058.97 = 432.45 : x
  2. Step 2: Convert to fraction form
    706.23/1,058.97 = 432.45/x
  3. Step 3: Cross multiply
    706.23x = 1,058.97 × 432.45
  4. Step 4: Simplify right side
    706.23x = 457,951.58
  5. Step 5: Solve for x
    x = 457,951.58/706.23
  6. Step 6: Final answer
    x = 648.45

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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.