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Finding the Fourth Proportional to 1,182.53, 1,772.42 and 488.34

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Solution

The fourth proportional to 1,182.53, 1,772.42 and 488.34 is: 731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.53 : 1,772.42 = 488.34 : x
  2. Step 2: Convert to fraction form
    1,182.53/1,772.42 = 488.34/x
  3. Step 3: Cross multiply
    1,182.53x = 1,772.42 × 488.34
  4. Step 4: Simplify right side
    1,182.53x = 865,541.14
  5. Step 5: Solve for x
    x = 865,541.14/1,182.53
  6. Step 6: Final answer
    x = 731.94

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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.