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Finding the Fourth Proportional to 1,022.59, 1,533.89 and 405.96

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Solution

The fourth proportional to 1,022.59, 1,533.89 and 405.96 is: 608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.59 : 1,533.89 = 405.96 : x
  2. Step 2: Convert to fraction form
    1,022.59/1,533.89 = 405.96/x
  3. Step 3: Cross multiply
    1,022.59x = 1,533.89 × 405.96
  4. Step 4: Simplify right side
    1,022.59x = 622,700.88
  5. Step 5: Solve for x
    x = 622,700.88/1,022.59
  6. Step 6: Final answer
    x = 608.94

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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.