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Finding the Fourth Proportional to 966.78, 1,334.07 and 673.02

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Solution

The fourth proportional to 966.78, 1,334.07 and 673.02 is: 928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.78 : 1,334.07 = 673.02 : x
  2. Step 2: Convert to fraction form
    966.78/1,334.07 = 673.02/x
  3. Step 3: Cross multiply
    966.78x = 1,334.07 × 673.02
  4. Step 4: Simplify right side
    966.78x = 897,855.79
  5. Step 5: Solve for x
    x = 897,855.79/966.78
  6. Step 6: Final answer
    x = 928.71

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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.