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Finding the Fourth Proportional to 887.53, 1,334.18 and 822.84

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Solution

The fourth proportional to 887.53, 1,334.18 and 822.84 is: 1,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.53 : 1,334.18 = 822.84 : x
  2. Step 2: Convert to fraction form
    887.53/1,334.18 = 822.84/x
  3. Step 3: Cross multiply
    887.53x = 1,334.18 × 822.84
  4. Step 4: Simplify right side
    887.53x = 1,097,816.67
  5. Step 5: Solve for x
    x = 1,097,816.67/887.53
  6. Step 6: Final answer
    x = 1,236.93

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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.