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Finding the Fourth Proportional to 1,421.78, 2,133.28 and 447.96

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Solution

The fourth proportional to 1,421.78, 2,133.28 and 447.96 is: 672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.78 : 2,133.28 = 447.96 : x
  2. Step 2: Convert to fraction form
    1,421.78/2,133.28 = 447.96/x
  3. Step 3: Cross multiply
    1,421.78x = 2,133.28 × 447.96
  4. Step 4: Simplify right side
    1,421.78x = 955,624.11
  5. Step 5: Solve for x
    x = 955,624.11/1,421.78
  6. Step 6: Final answer
    x = 672.13

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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.