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Finding the Fourth Proportional to 1,670.58, 2,505.96 and 516.42

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Solution

The fourth proportional to 1,670.58, 2,505.96 and 516.42 is: 774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.58 : 2,505.96 = 516.42 : x
  2. Step 2: Convert to fraction form
    1,670.58/2,505.96 = 516.42/x
  3. Step 3: Cross multiply
    1,670.58x = 2,505.96 × 516.42
  4. Step 4: Simplify right side
    1,670.58x = 1,294,127.86
  5. Step 5: Solve for x
    x = 1,294,127.86/1,670.58
  6. Step 6: Final answer
    x = 774.66

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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.