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Finding the Fourth Proportional to 967.04, 1,450.62 and 317.78

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Solution

The fourth proportional to 967.04, 1,450.62 and 317.78 is: 476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.04 : 1,450.62 = 317.78 : x
  2. Step 2: Convert to fraction form
    967.04/1,450.62 = 317.78/x
  3. Step 3: Cross multiply
    967.04x = 1,450.62 × 317.78
  4. Step 4: Simplify right side
    967.04x = 460,978.02
  5. Step 5: Solve for x
    x = 460,978.02/967.04
  6. Step 6: Final answer
    x = 476.69

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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.