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Finding the Fourth Proportional to 1,421.84, 2,132.62 and 447.77

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Solution

The fourth proportional to 1,421.84, 2,132.62 and 447.77 is: 671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.84 : 2,132.62 = 447.77 : x
  2. Step 2: Convert to fraction form
    1,421.84/2,132.62 = 447.77/x
  3. Step 3: Cross multiply
    1,421.84x = 2,132.62 × 447.77
  4. Step 4: Simplify right side
    1,421.84x = 954,927.47
  5. Step 5: Solve for x
    x = 954,927.47/1,421.84
  6. Step 6: Final answer
    x = 671.61

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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.