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Finding the Fourth Proportional to 1,144.09, 1,715.49 and 527.53

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Solution

The fourth proportional to 1,144.09, 1,715.49 and 527.53 is: 791.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.09 : 1,715.49 = 527.53 : x
  2. Step 2: Convert to fraction form
    1,144.09/1,715.49 = 527.53/x
  3. Step 3: Cross multiply
    1,144.09x = 1,715.49 × 527.53
  4. Step 4: Simplify right side
    1,144.09x = 904,972.44
  5. Step 5: Solve for x
    x = 904,972.44/1,144.09
  6. Step 6: Final answer
    x = 791.00

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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.