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Finding the Fourth Proportional to 1,144.80, 1,712.94 and 682.83

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Solution

The fourth proportional to 1,144.80, 1,712.94 and 682.83 is: 1,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.80 : 1,712.94 = 682.83 : x
  2. Step 2: Convert to fraction form
    1,144.80/1,712.94 = 682.83/x
  3. Step 3: Cross multiply
    1,144.80x = 1,712.94 × 682.83
  4. Step 4: Simplify right side
    1,144.80x = 1,169,646.82
  5. Step 5: Solve for x
    x = 1,169,646.82/1,144.80
  6. Step 6: Final answer
    x = 1,021.70

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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.