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Finding the Fourth Proportional to 1,180.31, 1,769.99 and 522.18

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Solution

The fourth proportional to 1,180.31, 1,769.99 and 522.18 is: 783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.31 : 1,769.99 = 522.18 : x
  2. Step 2: Convert to fraction form
    1,180.31/1,769.99 = 522.18/x
  3. Step 3: Cross multiply
    1,180.31x = 1,769.99 × 522.18
  4. Step 4: Simplify right side
    1,180.31x = 924,250.77
  5. Step 5: Solve for x
    x = 924,250.77/1,180.31
  6. Step 6: Final answer
    x = 783.06

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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.