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Finding the Fourth Proportional to 673.60, 1,010.40 and 633.10

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Solution

The fourth proportional to 673.60, 1,010.40 and 633.10 is: 949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.60 : 1,010.40 = 633.10 : x
  2. Step 2: Convert to fraction form
    673.60/1,010.40 = 633.10/x
  3. Step 3: Cross multiply
    673.60x = 1,010.40 × 633.10
  4. Step 4: Simplify right side
    673.60x = 639,684.24
  5. Step 5: Solve for x
    x = 639,684.24/673.60
  6. Step 6: Final answer
    x = 949.65

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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.