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Finding the Fourth Proportional to 984.39, 1,476.58 and 436.42

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Solution

The fourth proportional to 984.39, 1,476.58 and 436.42 is: 654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.39 : 1,476.58 = 436.42 : x
  2. Step 2: Convert to fraction form
    984.39/1,476.58 = 436.42/x
  3. Step 3: Cross multiply
    984.39x = 1,476.58 × 436.42
  4. Step 4: Simplify right side
    984.39x = 644,409.04
  5. Step 5: Solve for x
    x = 644,409.04/984.39
  6. Step 6: Final answer
    x = 654.63

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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.