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Finding the Fourth Proportional to 673.10, 1,009.14 and 576.10

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Solution

The fourth proportional to 673.10, 1,009.14 and 576.10 is: 863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.10 : 1,009.14 = 576.10 : x
  2. Step 2: Convert to fraction form
    673.10/1,009.14 = 576.10/x
  3. Step 3: Cross multiply
    673.10x = 1,009.14 × 576.10
  4. Step 4: Simplify right side
    673.10x = 581,365.55
  5. Step 5: Solve for x
    x = 581,365.55/673.10
  6. Step 6: Final answer
    x = 863.71

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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.