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Finding the Fourth Proportional to 969.03, 1,451.12 and 764.71

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Solution

The fourth proportional to 969.03, 1,451.12 and 764.71 is: 1,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.03 : 1,451.12 = 764.71 : x
  2. Step 2: Convert to fraction form
    969.03/1,451.12 = 764.71/x
  3. Step 3: Cross multiply
    969.03x = 1,451.12 × 764.71
  4. Step 4: Simplify right side
    969.03x = 1,109,678.52
  5. Step 5: Solve for x
    x = 1,109,678.52/969.03
  6. Step 6: Final answer
    x = 1,145.14

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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.