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Finding the Fourth Proportional to 1,670.96, 2,506.72 and 516.72

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Solution

The fourth proportional to 1,670.96, 2,506.72 and 516.72 is: 775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.96 : 2,506.72 = 516.72 : x
  2. Step 2: Convert to fraction form
    1,670.96/2,506.72 = 516.72/x
  3. Step 3: Cross multiply
    1,670.96x = 2,506.72 × 516.72
  4. Step 4: Simplify right side
    1,670.96x = 1,295,272.36
  5. Step 5: Solve for x
    x = 1,295,272.36/1,670.96
  6. Step 6: Final answer
    x = 775.17

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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.