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Finding the Fourth Proportional to 1,026.14, 1,539.43 and 506.21

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Solution

The fourth proportional to 1,026.14, 1,539.43 and 506.21 is: 759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.14 : 1,539.43 = 506.21 : x
  2. Step 2: Convert to fraction form
    1,026.14/1,539.43 = 506.21/x
  3. Step 3: Cross multiply
    1,026.14x = 1,539.43 × 506.21
  4. Step 4: Simplify right side
    1,026.14x = 779,265.90
  5. Step 5: Solve for x
    x = 779,265.90/1,026.14
  6. Step 6: Final answer
    x = 759.42

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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.