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Finding the Fourth Proportional to 1,164.60, 1,747.17 and 342.86

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Solution

The fourth proportional to 1,164.60, 1,747.17 and 342.86 is: 514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.60 : 1,747.17 = 342.86 : x
  2. Step 2: Convert to fraction form
    1,164.60/1,747.17 = 342.86/x
  3. Step 3: Cross multiply
    1,164.60x = 1,747.17 × 342.86
  4. Step 4: Simplify right side
    1,164.60x = 599,025.97
  5. Step 5: Solve for x
    x = 599,025.97/1,164.60
  6. Step 6: Final answer
    x = 514.36

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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.