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Finding the Fourth Proportional to 673.62, 1,009.44 and 468.33

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Solution

The fourth proportional to 673.62, 1,009.44 and 468.33 is: 701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.62 : 1,009.44 = 468.33 : x
  2. Step 2: Convert to fraction form
    673.62/1,009.44 = 468.33/x
  3. Step 3: Cross multiply
    673.62x = 1,009.44 × 468.33
  4. Step 4: Simplify right side
    673.62x = 472,751.04
  5. Step 5: Solve for x
    x = 472,751.04/673.62
  6. Step 6: Final answer
    x = 701.81

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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.