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Finding the Fourth Proportional to 1,419.77, 2,129.67 and 445.89

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Solution

The fourth proportional to 1,419.77, 2,129.67 and 445.89 is: 668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.77 : 2,129.67 = 445.89 : x
  2. Step 2: Convert to fraction form
    1,419.77/2,129.67 = 445.89/x
  3. Step 3: Cross multiply
    1,419.77x = 2,129.67 × 445.89
  4. Step 4: Simplify right side
    1,419.77x = 949,598.56
  5. Step 5: Solve for x
    x = 949,598.56/1,419.77
  6. Step 6: Final answer
    x = 668.84

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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.