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Finding the Fourth Proportional to 1,215.54, 1,677.67 and 773.96

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Solution

The fourth proportional to 1,215.54, 1,677.67 and 773.96 is: 1,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.54 : 1,677.67 = 773.96 : x
  2. Step 2: Convert to fraction form
    1,215.54/1,677.67 = 773.96/x
  3. Step 3: Cross multiply
    1,215.54x = 1,677.67 × 773.96
  4. Step 4: Simplify right side
    1,215.54x = 1,298,439.15
  5. Step 5: Solve for x
    x = 1,298,439.15/1,215.54
  6. Step 6: Final answer
    x = 1,068.20

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Why These Related Problems?

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