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Finding the Fourth Proportional to 708.30, 976.64 and 648.77

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Solution

The fourth proportional to 708.30, 976.64 and 648.77 is: 894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.30 : 976.64 = 648.77 : x
  2. Step 2: Convert to fraction form
    708.30/976.64 = 648.77/x
  3. Step 3: Cross multiply
    708.30x = 976.64 × 648.77
  4. Step 4: Simplify right side
    708.30x = 633,606.61
  5. Step 5: Solve for x
    x = 633,606.61/708.30
  6. Step 6: Final answer
    x = 894.55

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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.