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Finding the Fourth Proportional to 1,216.81, 1,678.47 and 774.35

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Solution

The fourth proportional to 1,216.81, 1,678.47 and 774.35 is: 1,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.81 : 1,678.47 = 774.35 : x
  2. Step 2: Convert to fraction form
    1,216.81/1,678.47 = 774.35/x
  3. Step 3: Cross multiply
    1,216.81x = 1,678.47 × 774.35
  4. Step 4: Simplify right side
    1,216.81x = 1,299,723.24
  5. Step 5: Solve for x
    x = 1,299,723.24/1,216.81
  6. Step 6: Final answer
    x = 1,068.14

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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.