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Finding the Fourth Proportional to 979.84, 1,469.76 and 465.28

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Solution

The fourth proportional to 979.84, 1,469.76 and 465.28 is: 697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.84 : 1,469.76 = 465.28 : x
  2. Step 2: Convert to fraction form
    979.84/1,469.76 = 465.28/x
  3. Step 3: Cross multiply
    979.84x = 1,469.76 × 465.28
  4. Step 4: Simplify right side
    979.84x = 683,849.93
  5. Step 5: Solve for x
    x = 683,849.93/979.84
  6. Step 6: Final answer
    x = 697.92

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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.