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Finding the Fourth Proportional to 706.34, 1,058.36 and 431.60

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Solution

The fourth proportional to 706.34, 1,058.36 and 431.60 is: 646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.34 : 1,058.36 = 431.60 : x
  2. Step 2: Convert to fraction form
    706.34/1,058.36 = 431.60/x
  3. Step 3: Cross multiply
    706.34x = 1,058.36 × 431.60
  4. Step 4: Simplify right side
    706.34x = 456,780.73
  5. Step 5: Solve for x
    x = 456,780.73/706.34
  6. Step 6: Final answer
    x = 646.69

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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.