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Finding the Fourth Proportional to 1,022.14, 1,533.33 and 466.61

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Solution

The fourth proportional to 1,022.14, 1,533.33 and 466.61 is: 699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.14 : 1,533.33 = 466.61 : x
  2. Step 2: Convert to fraction form
    1,022.14/1,533.33 = 466.61/x
  3. Step 3: Cross multiply
    1,022.14x = 1,533.33 × 466.61
  4. Step 4: Simplify right side
    1,022.14x = 715,468.07
  5. Step 5: Solve for x
    x = 715,468.07/1,022.14
  6. Step 6: Final answer
    x = 699.97

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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.