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Finding the Fourth Proportional to 1,180.09, 1,769.15 and 521.86

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Solution

The fourth proportional to 1,180.09, 1,769.15 and 521.86 is: 782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.09 : 1,769.15 = 521.86 : x
  2. Step 2: Convert to fraction form
    1,180.09/1,769.15 = 521.86/x
  3. Step 3: Cross multiply
    1,180.09x = 1,769.15 × 521.86
  4. Step 4: Simplify right side
    1,180.09x = 923,246.01
  5. Step 5: Solve for x
    x = 923,246.01/1,180.09
  6. Step 6: Final answer
    x = 782.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.