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Finding the Fourth Proportional to 786.07, 1,085.05 and 516.91

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Solution

The fourth proportional to 786.07, 1,085.05 and 516.91 is: 713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.07 : 1,085.05 = 516.91 : x
  2. Step 2: Convert to fraction form
    786.07/1,085.05 = 516.91/x
  3. Step 3: Cross multiply
    786.07x = 1,085.05 × 516.91
  4. Step 4: Simplify right side
    786.07x = 560,873.20
  5. Step 5: Solve for x
    x = 560,873.20/786.07
  6. Step 6: Final answer
    x = 713.52

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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.