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Finding the Fourth Proportional to 1,108.84, 1,661.64 and 784.84

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Solution

The fourth proportional to 1,108.84, 1,661.64 and 784.84 is: 1,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.84 : 1,661.64 = 784.84 : x
  2. Step 2: Convert to fraction form
    1,108.84/1,661.64 = 784.84/x
  3. Step 3: Cross multiply
    1,108.84x = 1,661.64 × 784.84
  4. Step 4: Simplify right side
    1,108.84x = 1,304,121.54
  5. Step 5: Solve for x
    x = 1,304,121.54/1,108.84
  6. Step 6: Final answer
    x = 1,176.11

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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.