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Finding the Fourth Proportional to 1,084.84, 1,496.40 and 822.40

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Solution

The fourth proportional to 1,084.84, 1,496.40 and 822.40 is: 1,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.84 : 1,496.40 = 822.40 : x
  2. Step 2: Convert to fraction form
    1,084.84/1,496.40 = 822.40/x
  3. Step 3: Cross multiply
    1,084.84x = 1,496.40 × 822.40
  4. Step 4: Simplify right side
    1,084.84x = 1,230,639.36
  5. Step 5: Solve for x
    x = 1,230,639.36/1,084.84
  6. Step 6: Final answer
    x = 1,134.40

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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.