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Finding the Fourth Proportional to 965.73, 1,324.52 and 926.04

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Solution

The fourth proportional to 965.73, 1,324.52 and 926.04 is: 1,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.73 : 1,324.52 = 926.04 : x
  2. Step 2: Convert to fraction form
    965.73/1,324.52 = 926.04/x
  3. Step 3: Cross multiply
    965.73x = 1,324.52 × 926.04
  4. Step 4: Simplify right side
    965.73x = 1,226,553.87
  5. Step 5: Solve for x
    x = 1,226,553.87/965.73
  6. Step 6: Final answer
    x = 1,270.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.