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Finding the Fourth Proportional to 673.62, 1,011.24 and 456.54

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Solution

The fourth proportional to 673.62, 1,011.24 and 456.54 is: 685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.62 : 1,011.24 = 456.54 : x
  2. Step 2: Convert to fraction form
    673.62/1,011.24 = 456.54/x
  3. Step 3: Cross multiply
    673.62x = 1,011.24 × 456.54
  4. Step 4: Simplify right side
    673.62x = 461,671.51
  5. Step 5: Solve for x
    x = 461,671.51/673.62
  6. Step 6: Final answer
    x = 685.36

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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.