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Finding the Fourth Proportional to 1,361.77, 2,041.44 and 630.34

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Solution

The fourth proportional to 1,361.77, 2,041.44 and 630.34 is: 944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.77 : 2,041.44 = 630.34 : x
  2. Step 2: Convert to fraction form
    1,361.77/2,041.44 = 630.34/x
  3. Step 3: Cross multiply
    1,361.77x = 2,041.44 × 630.34
  4. Step 4: Simplify right side
    1,361.77x = 1,286,793.03
  5. Step 5: Solve for x
    x = 1,286,793.03/1,361.77
  6. Step 6: Final answer
    x = 944.94

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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.