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Finding the Fourth Proportional to 708.42, 976.92 and 540.80

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Solution

The fourth proportional to 708.42, 976.92 and 540.80 is: 745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.42 : 976.92 = 540.80 : x
  2. Step 2: Convert to fraction form
    708.42/976.92 = 540.80/x
  3. Step 3: Cross multiply
    708.42x = 976.92 × 540.80
  4. Step 4: Simplify right side
    708.42x = 528,318.34
  5. Step 5: Solve for x
    x = 528,318.34/708.42
  6. Step 6: Final answer
    x = 745.77

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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.