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Finding the Fourth Proportional to 1,174.50, 1,761.35 and 516.17

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Solution

The fourth proportional to 1,174.50, 1,761.35 and 516.17 is: 774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.50 : 1,761.35 = 516.17 : x
  2. Step 2: Convert to fraction form
    1,174.50/1,761.35 = 516.17/x
  3. Step 3: Cross multiply
    1,174.50x = 1,761.35 × 516.17
  4. Step 4: Simplify right side
    1,174.50x = 909,157.85
  5. Step 5: Solve for x
    x = 909,157.85/1,174.50
  6. Step 6: Final answer
    x = 774.08

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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.