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Finding the Fourth Proportional to 706.48, 1,058.92 and 431.97

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Solution

The fourth proportional to 706.48, 1,058.92 and 431.97 is: 647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.48 : 1,058.92 = 431.97 : x
  2. Step 2: Convert to fraction form
    706.48/1,058.92 = 431.97/x
  3. Step 3: Cross multiply
    706.48x = 1,058.92 × 431.97
  4. Step 4: Simplify right side
    706.48x = 457,421.67
  5. Step 5: Solve for x
    x = 457,421.67/706.48
  6. Step 6: Final answer
    x = 647.47

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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.