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Finding the Fourth Proportional to 979.72, 1,469.58 and 402.19

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Solution

The fourth proportional to 979.72, 1,469.58 and 402.19 is: 603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.72 : 1,469.58 = 402.19 : x
  2. Step 2: Convert to fraction form
    979.72/1,469.58 = 402.19/x
  3. Step 3: Cross multiply
    979.72x = 1,469.58 × 402.19
  4. Step 4: Simplify right side
    979.72x = 591,050.38
  5. Step 5: Solve for x
    x = 591,050.38/979.72
  6. Step 6: Final answer
    x = 603.29

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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.