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Finding the Fourth Proportional to 673.52, 1,009.67 and 491.81

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Solution

The fourth proportional to 673.52, 1,009.67 and 491.81 is: 737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.52 : 1,009.67 = 491.81 : x
  2. Step 2: Convert to fraction form
    673.52/1,009.67 = 491.81/x
  3. Step 3: Cross multiply
    673.52x = 1,009.67 × 491.81
  4. Step 4: Simplify right side
    673.52x = 496,558.30
  5. Step 5: Solve for x
    x = 496,558.30/673.52
  6. Step 6: Final answer
    x = 737.26

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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.