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Finding the Fourth Proportional to 967.49, 1,450.63 and 351.18

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Solution

The fourth proportional to 967.49, 1,450.63 and 351.18 is: 526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.49 : 1,450.63 = 351.18 : x
  2. Step 2: Convert to fraction form
    967.49/1,450.63 = 351.18/x
  3. Step 3: Cross multiply
    967.49x = 1,450.63 × 351.18
  4. Step 4: Simplify right side
    967.49x = 509,438.12
  5. Step 5: Solve for x
    x = 509,438.12/967.49
  6. Step 6: Final answer
    x = 526.56

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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.