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Finding the Fourth Proportional to 967.34, 1,450.10 and 479.93

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Solution

The fourth proportional to 967.34, 1,450.10 and 479.93 is: 719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.34 : 1,450.10 = 479.93 : x
  2. Step 2: Convert to fraction form
    967.34/1,450.10 = 479.93/x
  3. Step 3: Cross multiply
    967.34x = 1,450.10 × 479.93
  4. Step 4: Simplify right side
    967.34x = 695,940.44
  5. Step 5: Solve for x
    x = 695,940.44/967.34
  6. Step 6: Final answer
    x = 719.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.