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Finding the Fourth Proportional to 967.06, 1,450 and 556.28

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Solution

The fourth proportional to 967.06, 1,450 and 556.28 is: 834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.06 : 1,450 = 556.28 : x
  2. Step 2: Convert to fraction form
    967.06/1,450 = 556.28/x
  3. Step 3: Cross multiply
    967.06x = 1,450 × 556.28
  4. Step 4: Simplify right side
    967.06x = 806,606
  5. Step 5: Solve for x
    x = 806,606/967.06
  6. Step 6: Final answer
    x = 834.08

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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.