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Finding the Fourth Proportional to 673.94, 1,006.33 and 591.05

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Solution

The fourth proportional to 673.94, 1,006.33 and 591.05 is: 882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.94 : 1,006.33 = 591.05 : x
  2. Step 2: Convert to fraction form
    673.94/1,006.33 = 591.05/x
  3. Step 3: Cross multiply
    673.94x = 1,006.33 × 591.05
  4. Step 4: Simplify right side
    673.94x = 594,791.35
  5. Step 5: Solve for x
    x = 594,791.35/673.94
  6. Step 6: Final answer
    x = 882.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.