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Finding the Fourth Proportional to 1,144.58, 1,715.57 and 451.12

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Solution

The fourth proportional to 1,144.58, 1,715.57 and 451.12 is: 676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.58 : 1,715.57 = 451.12 : x
  2. Step 2: Convert to fraction form
    1,144.58/1,715.57 = 451.12/x
  3. Step 3: Cross multiply
    1,144.58x = 1,715.57 × 451.12
  4. Step 4: Simplify right side
    1,144.58x = 773,927.94
  5. Step 5: Solve for x
    x = 773,927.94/1,144.58
  6. Step 6: Final answer
    x = 676.17

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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.