Home / 1,164.52-1,746.78-516.04

Finding the Fourth Proportional to 1,164.52, 1,746.78 and 516.04

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Solution

The fourth proportional to 1,164.52, 1,746.78 and 516.04 is: 774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.52 : 1,746.78 = 516.04 : x
  2. Step 2: Convert to fraction form
    1,164.52/1,746.78 = 516.04/x
  3. Step 3: Cross multiply
    1,164.52x = 1,746.78 × 516.04
  4. Step 4: Simplify right side
    1,164.52x = 901,408.35
  5. Step 5: Solve for x
    x = 901,408.35/1,164.52
  6. Step 6: Final answer
    x = 774.06

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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.