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Finding the Fourth Proportional to 1,180.53, 1,769.27 and 487.68

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Solution

The fourth proportional to 1,180.53, 1,769.27 and 487.68 is: 730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.53 : 1,769.27 = 487.68 : x
  2. Step 2: Convert to fraction form
    1,180.53/1,769.27 = 487.68/x
  3. Step 3: Cross multiply
    1,180.53x = 1,769.27 × 487.68
  4. Step 4: Simplify right side
    1,180.53x = 862,838.81
  5. Step 5: Solve for x
    x = 862,838.81/1,180.53
  6. Step 6: Final answer
    x = 730.89

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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.