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Finding the Fourth Proportional to 1,343.85, 2,015.66 and 466.34

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Solution

The fourth proportional to 1,343.85, 2,015.66 and 466.34 is: 699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.85 : 2,015.66 = 466.34 : x
  2. Step 2: Convert to fraction form
    1,343.85/2,015.66 = 466.34/x
  3. Step 3: Cross multiply
    1,343.85x = 2,015.66 × 466.34
  4. Step 4: Simplify right side
    1,343.85x = 939,972.22
  5. Step 5: Solve for x
    x = 939,972.22/1,343.85
  6. Step 6: Final answer
    x = 699.46

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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.