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Finding the Fourth Proportional to 673.20, 1,009.12 and 456.88

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Solution

The fourth proportional to 673.20, 1,009.12 and 456.88 is: 684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.20 : 1,009.12 = 456.88 : x
  2. Step 2: Convert to fraction form
    673.20/1,009.12 = 456.88/x
  3. Step 3: Cross multiply
    673.20x = 1,009.12 × 456.88
  4. Step 4: Simplify right side
    673.20x = 461,046.75
  5. Step 5: Solve for x
    x = 461,046.75/673.20
  6. Step 6: Final answer
    x = 684.86

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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.