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Finding the Fourth Proportional to 708.63, 976.88 and 459.86

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Solution

The fourth proportional to 708.63, 976.88 and 459.86 is: 633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.63 : 976.88 = 459.86 : x
  2. Step 2: Convert to fraction form
    708.63/976.88 = 459.86/x
  3. Step 3: Cross multiply
    708.63x = 976.88 × 459.86
  4. Step 4: Simplify right side
    708.63x = 449,220.85
  5. Step 5: Solve for x
    x = 449,220.85/708.63
  6. Step 6: Final answer
    x = 633.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.