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Finding the Fourth Proportional to 885.84, 1,326.25 and 677.37

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Solution

The fourth proportional to 885.84, 1,326.25 and 677.37 is: 1,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.84 : 1,326.25 = 677.37 : x
  2. Step 2: Convert to fraction form
    885.84/1,326.25 = 677.37/x
  3. Step 3: Cross multiply
    885.84x = 1,326.25 × 677.37
  4. Step 4: Simplify right side
    885.84x = 898,361.96
  5. Step 5: Solve for x
    x = 898,361.96/885.84
  6. Step 6: Final answer
    x = 1,014.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.