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Finding the Fourth Proportional to 708.06, 976.71 and 486.63

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Solution

The fourth proportional to 708.06, 976.71 and 486.63 is: 671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.06 : 976.71 = 486.63 : x
  2. Step 2: Convert to fraction form
    708.06/976.71 = 486.63/x
  3. Step 3: Cross multiply
    708.06x = 976.71 × 486.63
  4. Step 4: Simplify right side
    708.06x = 475,296.39
  5. Step 5: Solve for x
    x = 475,296.39/708.06
  6. Step 6: Final answer
    x = 671.27

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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.