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Finding the Fourth Proportional to 914.85, 1,262.36 and 516.53

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Solution

The fourth proportional to 914.85, 1,262.36 and 516.53 is: 712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.85 : 1,262.36 = 516.53 : x
  2. Step 2: Convert to fraction form
    914.85/1,262.36 = 516.53/x
  3. Step 3: Cross multiply
    914.85x = 1,262.36 × 516.53
  4. Step 4: Simplify right side
    914.85x = 652,046.81
  5. Step 5: Solve for x
    x = 652,046.81/914.85
  6. Step 6: Final answer
    x = 712.74

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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.