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Finding the Fourth Proportional to 1,421.57, 2,132.42 and 447.77

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Solution

The fourth proportional to 1,421.57, 2,132.42 and 447.77 is: 671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.57 : 2,132.42 = 447.77 : x
  2. Step 2: Convert to fraction form
    1,421.57/2,132.42 = 447.77/x
  3. Step 3: Cross multiply
    1,421.57x = 2,132.42 × 447.77
  4. Step 4: Simplify right side
    1,421.57x = 954,820.80
  5. Step 5: Solve for x
    x = 954,820.80/1,421.57
  6. Step 6: Final answer
    x = 671.67

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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.