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Finding the Fourth Proportional to 914.76, 1,262.33 and 516.43

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Solution

The fourth proportional to 914.76, 1,262.33 and 516.43 is: 712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.76 : 1,262.33 = 516.43 : x
  2. Step 2: Convert to fraction form
    914.76/1,262.33 = 516.43/x
  3. Step 3: Cross multiply
    914.76x = 1,262.33 × 516.43
  4. Step 4: Simplify right side
    914.76x = 651,905.08
  5. Step 5: Solve for x
    x = 651,905.08/914.76
  6. Step 6: Final answer
    x = 712.65

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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.