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Finding the Fourth Proportional to 984.05, 1,475.57 and 436.40

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Solution

The fourth proportional to 984.05, 1,475.57 and 436.40 is: 654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.05 : 1,475.57 = 436.40 : x
  2. Step 2: Convert to fraction form
    984.05/1,475.57 = 436.40/x
  3. Step 3: Cross multiply
    984.05x = 1,475.57 × 436.40
  4. Step 4: Simplify right side
    984.05x = 643,938.75
  5. Step 5: Solve for x
    x = 643,938.75/984.05
  6. Step 6: Final answer
    x = 654.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.