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Finding the Fourth Proportional to 953.28, 1,305.96 and 918.18

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Solution

The fourth proportional to 953.28, 1,305.96 and 918.18 is: 1,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.28 : 1,305.96 = 918.18 : x
  2. Step 2: Convert to fraction form
    953.28/1,305.96 = 918.18/x
  3. Step 3: Cross multiply
    953.28x = 1,305.96 × 918.18
  4. Step 4: Simplify right side
    953.28x = 1,199,106.35
  5. Step 5: Solve for x
    x = 1,199,106.35/953.28
  6. Step 6: Final answer
    x = 1,257.87

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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.