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Finding the Fourth Proportional to 1,165.76, 1,748.94 and 516.34

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Solution

The fourth proportional to 1,165.76, 1,748.94 and 516.34 is: 774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.76 : 1,748.94 = 516.34 : x
  2. Step 2: Convert to fraction form
    1,165.76/1,748.94 = 516.34/x
  3. Step 3: Cross multiply
    1,165.76x = 1,748.94 × 516.34
  4. Step 4: Simplify right side
    1,165.76x = 903,036.35
  5. Step 5: Solve for x
    x = 903,036.35/1,165.76
  6. Step 6: Final answer
    x = 774.64

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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.