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Finding the Fourth Proportional to 966.51, 1,450.47 and 747.68

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Solution

The fourth proportional to 966.51, 1,450.47 and 747.68 is: 1,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.51 : 1,450.47 = 747.68 : x
  2. Step 2: Convert to fraction form
    966.51/1,450.47 = 747.68/x
  3. Step 3: Cross multiply
    966.51x = 1,450.47 × 747.68
  4. Step 4: Simplify right side
    966.51x = 1,084,487.41
  5. Step 5: Solve for x
    x = 1,084,487.41/966.51
  6. Step 6: Final answer
    x = 1,122.07

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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.