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Finding the Fourth Proportional to 923.86, 1,274.89 and 514.57

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Solution

The fourth proportional to 923.86, 1,274.89 and 514.57 is: 710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.86 : 1,274.89 = 514.57 : x
  2. Step 2: Convert to fraction form
    923.86/1,274.89 = 514.57/x
  3. Step 3: Cross multiply
    923.86x = 1,274.89 × 514.57
  4. Step 4: Simplify right side
    923.86x = 656,020.15
  5. Step 5: Solve for x
    x = 656,020.15/923.86
  6. Step 6: Final answer
    x = 710.09

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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.