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Finding the Fourth Proportional to 673.93, 1,011.05 and 349.22

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Solution

The fourth proportional to 673.93, 1,011.05 and 349.22 is: 523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.93 : 1,011.05 = 349.22 : x
  2. Step 2: Convert to fraction form
    673.93/1,011.05 = 349.22/x
  3. Step 3: Cross multiply
    673.93x = 1,011.05 × 349.22
  4. Step 4: Simplify right side
    673.93x = 353,080.97
  5. Step 5: Solve for x
    x = 353,080.97/673.93
  6. Step 6: Final answer
    x = 523.91

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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.