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Finding the Fourth Proportional to 984.72, 1,476.76 and 436.89

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Solution

The fourth proportional to 984.72, 1,476.76 and 436.89 is: 655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.72 : 1,476.76 = 436.89 : x
  2. Step 2: Convert to fraction form
    984.72/1,476.76 = 436.89/x
  3. Step 3: Cross multiply
    984.72x = 1,476.76 × 436.89
  4. Step 4: Simplify right side
    984.72x = 645,181.68
  5. Step 5: Solve for x
    x = 645,181.68/984.72
  6. Step 6: Final answer
    x = 655.19

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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.