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Finding the Fourth Proportional to 1,421.83, 1,962.17 and 832.39

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Solution

The fourth proportional to 1,421.83, 1,962.17 and 832.39 is: 1,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.83 : 1,962.17 = 832.39 : x
  2. Step 2: Convert to fraction form
    1,421.83/1,962.17 = 832.39/x
  3. Step 3: Cross multiply
    1,421.83x = 1,962.17 × 832.39
  4. Step 4: Simplify right side
    1,421.83x = 1,633,286.52
  5. Step 5: Solve for x
    x = 1,633,286.52/1,421.83
  6. Step 6: Final answer
    x = 1,148.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.