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Finding the Fourth Proportional to 1,216.17, 1,678.83 and 744.06

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Solution

The fourth proportional to 1,216.17, 1,678.83 and 744.06 is: 1,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.17 : 1,678.83 = 744.06 : x
  2. Step 2: Convert to fraction form
    1,216.17/1,678.83 = 744.06/x
  3. Step 3: Cross multiply
    1,216.17x = 1,678.83 × 744.06
  4. Step 4: Simplify right side
    1,216.17x = 1,249,150.25
  5. Step 5: Solve for x
    x = 1,249,150.25/1,216.17
  6. Step 6: Final answer
    x = 1,027.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.