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Finding the Fourth Proportional to 1,215.68, 1,677.71 and 774.63

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Solution

The fourth proportional to 1,215.68, 1,677.71 and 774.63 is: 1,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.68 : 1,677.71 = 774.63 : x
  2. Step 2: Convert to fraction form
    1,215.68/1,677.71 = 774.63/x
  3. Step 3: Cross multiply
    1,215.68x = 1,677.71 × 774.63
  4. Step 4: Simplify right side
    1,215.68x = 1,299,606.43
  5. Step 5: Solve for x
    x = 1,299,606.43/1,215.68
  6. Step 6: Final answer
    x = 1,069.04

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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.