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Finding the Fourth Proportional to 984.20, 1,475.82 and 436.10

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Solution

The fourth proportional to 984.20, 1,475.82 and 436.10 is: 653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.20 : 1,475.82 = 436.10 : x
  2. Step 2: Convert to fraction form
    984.20/1,475.82 = 436.10/x
  3. Step 3: Cross multiply
    984.20x = 1,475.82 × 436.10
  4. Step 4: Simplify right side
    984.20x = 643,597.72
  5. Step 5: Solve for x
    x = 643,597.72/984.20
  6. Step 6: Final answer
    x = 653.93

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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.