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Finding the Fourth Proportional to 1,180.59, 1,769.91 and 723.63

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Solution

The fourth proportional to 1,180.59, 1,769.91 and 723.63 is: 1,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.59 : 1,769.91 = 723.63 : x
  2. Step 2: Convert to fraction form
    1,180.59/1,769.91 = 723.63/x
  3. Step 3: Cross multiply
    1,180.59x = 1,769.91 × 723.63
  4. Step 4: Simplify right side
    1,180.59x = 1,280,752.93
  5. Step 5: Solve for x
    x = 1,280,752.93/1,180.59
  6. Step 6: Final answer
    x = 1,084.85

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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.