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Finding the Fourth Proportional to 673.94, 1,011.68 and 670.97

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Solution

The fourth proportional to 673.94, 1,011.68 and 670.97 is: 1,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.94 : 1,011.68 = 670.97 : x
  2. Step 2: Convert to fraction form
    673.94/1,011.68 = 670.97/x
  3. Step 3: Cross multiply
    673.94x = 1,011.68 × 670.97
  4. Step 4: Simplify right side
    673.94x = 678,806.93
  5. Step 5: Solve for x
    x = 678,806.93/673.94
  6. Step 6: Final answer
    x = 1,007.22

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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.