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Finding the Fourth Proportional to 1,422.59, 2,134.08 and 448.47

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Solution

The fourth proportional to 1,422.59, 2,134.08 and 448.47 is: 672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.59 : 2,134.08 = 448.47 : x
  2. Step 2: Convert to fraction form
    1,422.59/2,134.08 = 448.47/x
  3. Step 3: Cross multiply
    1,422.59x = 2,134.08 × 448.47
  4. Step 4: Simplify right side
    1,422.59x = 957,070.86
  5. Step 5: Solve for x
    x = 957,070.86/1,422.59
  6. Step 6: Final answer
    x = 672.77

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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.