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Finding the Fourth Proportional to 945.27, 1,415.82 and 926.57

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Solution

The fourth proportional to 945.27, 1,415.82 and 926.57 is: 1,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.27 : 1,415.82 = 926.57 : x
  2. Step 2: Convert to fraction form
    945.27/1,415.82 = 926.57/x
  3. Step 3: Cross multiply
    945.27x = 1,415.82 × 926.57
  4. Step 4: Simplify right side
    945.27x = 1,311,849.26
  5. Step 5: Solve for x
    x = 1,311,849.26/945.27
  6. Step 6: Final answer
    x = 1,387.80

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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.