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Finding the Fourth Proportional to 1,161.96, 1,742.90 and 340.26

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Solution

The fourth proportional to 1,161.96, 1,742.90 and 340.26 is: 510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.96 : 1,742.90 = 340.26 : x
  2. Step 2: Convert to fraction form
    1,161.96/1,742.90 = 340.26/x
  3. Step 3: Cross multiply
    1,161.96x = 1,742.90 × 340.26
  4. Step 4: Simplify right side
    1,161.96x = 593,037.45
  5. Step 5: Solve for x
    x = 593,037.45/1,161.96
  6. Step 6: Final answer
    x = 510.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.