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Finding the Fourth Proportional to 1,232.68, 1,701.05 and 673.13

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Solution

The fourth proportional to 1,232.68, 1,701.05 and 673.13 is: 928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.68 : 1,701.05 = 673.13 : x
  2. Step 2: Convert to fraction form
    1,232.68/1,701.05 = 673.13/x
  3. Step 3: Cross multiply
    1,232.68x = 1,701.05 × 673.13
  4. Step 4: Simplify right side
    1,232.68x = 1,145,015.92
  5. Step 5: Solve for x
    x = 1,145,015.92/1,232.68
  6. Step 6: Final answer
    x = 928.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.