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Finding the Fourth Proportional to 961.02, 1,441.53 and 756.68

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Solution

The fourth proportional to 961.02, 1,441.53 and 756.68 is: 1,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.02 : 1,441.53 = 756.68 : x
  2. Step 2: Convert to fraction form
    961.02/1,441.53 = 756.68/x
  3. Step 3: Cross multiply
    961.02x = 1,441.53 × 756.68
  4. Step 4: Simplify right side
    961.02x = 1,090,769.71
  5. Step 5: Solve for x
    x = 1,090,769.71/961.02
  6. Step 6: Final answer
    x = 1,135.01

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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.