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Finding the Fourth Proportional to 1,212.67, 1,673.49 and 688.74

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Solution

The fourth proportional to 1,212.67, 1,673.49 and 688.74 is: 950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.67 : 1,673.49 = 688.74 : x
  2. Step 2: Convert to fraction form
    1,212.67/1,673.49 = 688.74/x
  3. Step 3: Cross multiply
    1,212.67x = 1,673.49 × 688.74
  4. Step 4: Simplify right side
    1,212.67x = 1,152,599.50
  5. Step 5: Solve for x
    x = 1,152,599.50/1,212.67
  6. Step 6: Final answer
    x = 950.46

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