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Finding the Fourth Proportional to 673.12, 1,008.94 and 383.92

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Solution

The fourth proportional to 673.12, 1,008.94 and 383.92 is: 575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.12 : 1,008.94 = 383.92 : x
  2. Step 2: Convert to fraction form
    673.12/1,008.94 = 383.92/x
  3. Step 3: Cross multiply
    673.12x = 1,008.94 × 383.92
  4. Step 4: Simplify right side
    673.12x = 387,352.24
  5. Step 5: Solve for x
    x = 387,352.24/673.12
  6. Step 6: Final answer
    x = 575.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.