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Finding the Fourth Proportional to 984.76, 1,482.30 and 755.12

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Solution

The fourth proportional to 984.76, 1,482.30 and 755.12 is: 1,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.76 : 1,482.30 = 755.12 : x
  2. Step 2: Convert to fraction form
    984.76/1,482.30 = 755.12/x
  3. Step 3: Cross multiply
    984.76x = 1,482.30 × 755.12
  4. Step 4: Simplify right side
    984.76x = 1,119,318.08
  5. Step 5: Solve for x
    x = 1,119,318.08/984.76
  6. Step 6: Final answer
    x = 1,136.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.