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Finding the Fourth Proportional to 984.64, 1,477.60 and 436.80

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Solution

The fourth proportional to 984.64, 1,477.60 and 436.80 is: 655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.64 : 1,477.60 = 436.80 : x
  2. Step 2: Convert to fraction form
    984.64/1,477.60 = 436.80/x
  3. Step 3: Cross multiply
    984.64x = 1,477.60 × 436.80
  4. Step 4: Simplify right side
    984.64x = 645,415.68
  5. Step 5: Solve for x
    x = 645,415.68/984.64
  6. Step 6: Final answer
    x = 655.48

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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.