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Finding the Fourth Proportional to 953.96, 1,315.86 and 922.28

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Solution

The fourth proportional to 953.96, 1,315.86 and 922.28 is: 1,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.96 : 1,315.86 = 922.28 : x
  2. Step 2: Convert to fraction form
    953.96/1,315.86 = 922.28/x
  3. Step 3: Cross multiply
    953.96x = 1,315.86 × 922.28
  4. Step 4: Simplify right side
    953.96x = 1,213,591.36
  5. Step 5: Solve for x
    x = 1,213,591.36/953.96
  6. Step 6: Final answer
    x = 1,272.16

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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.