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Finding the Fourth Proportional to 841.72, 1,260.14 and 516.12

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Solution

The fourth proportional to 841.72, 1,260.14 and 516.12 is: 772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.72 : 1,260.14 = 516.12 : x
  2. Step 2: Convert to fraction form
    841.72/1,260.14 = 516.12/x
  3. Step 3: Cross multiply
    841.72x = 1,260.14 × 516.12
  4. Step 4: Simplify right side
    841.72x = 650,383.46
  5. Step 5: Solve for x
    x = 650,383.46/841.72
  6. Step 6: Final answer
    x = 772.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.