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Finding the Fourth Proportional to 1,119.62, 1,678.28 and 533.58

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Solution

The fourth proportional to 1,119.62, 1,678.28 and 533.58 is: 799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.62 : 1,678.28 = 533.58 : x
  2. Step 2: Convert to fraction form
    1,119.62/1,678.28 = 533.58/x
  3. Step 3: Cross multiply
    1,119.62x = 1,678.28 × 533.58
  4. Step 4: Simplify right side
    1,119.62x = 895,496.64
  5. Step 5: Solve for x
    x = 895,496.64/1,119.62
  6. Step 6: Final answer
    x = 799.82

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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.