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Finding the Fourth Proportional to 1,022.18, 1,532.84 and 405.54

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Solution

The fourth proportional to 1,022.18, 1,532.84 and 405.54 is: 608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.18 : 1,532.84 = 405.54 : x
  2. Step 2: Convert to fraction form
    1,022.18/1,532.84 = 405.54/x
  3. Step 3: Cross multiply
    1,022.18x = 1,532.84 × 405.54
  4. Step 4: Simplify right side
    1,022.18x = 621,625.91
  5. Step 5: Solve for x
    x = 621,625.91/1,022.18
  6. Step 6: Final answer
    x = 608.14

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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.