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Finding the Fourth Proportional to 708.33, 976.53 and 686.79

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Solution

The fourth proportional to 708.33, 976.53 and 686.79 is: 946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.33 : 976.53 = 686.79 : x
  2. Step 2: Convert to fraction form
    708.33/976.53 = 686.79/x
  3. Step 3: Cross multiply
    708.33x = 976.53 × 686.79
  4. Step 4: Simplify right side
    708.33x = 670,671.04
  5. Step 5: Solve for x
    x = 670,671.04/708.33
  6. Step 6: Final answer
    x = 946.83

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