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Finding the Fourth Proportional to 1,343.40, 2,015.61 and 650.02

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Solution

The fourth proportional to 1,343.40, 2,015.61 and 650.02 is: 975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.40 : 2,015.61 = 650.02 : x
  2. Step 2: Convert to fraction form
    1,343.40/2,015.61 = 650.02/x
  3. Step 3: Cross multiply
    1,343.40x = 2,015.61 × 650.02
  4. Step 4: Simplify right side
    1,343.40x = 1,310,181.77
  5. Step 5: Solve for x
    x = 1,310,181.77/1,343.40
  6. Step 6: Final answer
    x = 975.27

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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.