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Finding the Fourth Proportional to 673.25, 1,009.87 and 348.84

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Solution

The fourth proportional to 673.25, 1,009.87 and 348.84 is: 523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.25 : 1,009.87 = 348.84 : x
  2. Step 2: Convert to fraction form
    673.25/1,009.87 = 348.84/x
  3. Step 3: Cross multiply
    673.25x = 1,009.87 × 348.84
  4. Step 4: Simplify right side
    673.25x = 352,282.18
  5. Step 5: Solve for x
    x = 352,282.18/673.25
  6. Step 6: Final answer
    x = 523.26

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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.