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Finding the Fourth Proportional to 967, 1,334.54 and 553.08

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Solution

The fourth proportional to 967, 1,334.54 and 553.08 is: 763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    967 : 1,334.54 = 553.08 : x
  2. Step 2: Convert to fraction form
    967/1,334.54 = 553.08/x
  3. Step 3: Cross multiply
    967x = 1,334.54 × 553.08
  4. Step 4: Simplify right side
    967x = 738,107.38
  5. Step 5: Solve for x
    x = 738,107.38/967
  6. Step 6: Final answer
    x = 763.30

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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.