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Finding the Fourth Proportional to 1,174.66, 1,762.46 and 516.19

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Solution

The fourth proportional to 1,174.66, 1,762.46 and 516.19 is: 774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.66 : 1,762.46 = 516.19 : x
  2. Step 2: Convert to fraction form
    1,174.66/1,762.46 = 516.19/x
  3. Step 3: Cross multiply
    1,174.66x = 1,762.46 × 516.19
  4. Step 4: Simplify right side
    1,174.66x = 909,764.23
  5. Step 5: Solve for x
    x = 909,764.23/1,174.66
  6. Step 6: Final answer
    x = 774.49

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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.