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Finding the Fourth Proportional to 1,026.17, 1,539.42 and 506.19

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Solution

The fourth proportional to 1,026.17, 1,539.42 and 506.19 is: 759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.17 : 1,539.42 = 506.19 : x
  2. Step 2: Convert to fraction form
    1,026.17/1,539.42 = 506.19/x
  3. Step 3: Cross multiply
    1,026.17x = 1,539.42 × 506.19
  4. Step 4: Simplify right side
    1,026.17x = 779,242.86
  5. Step 5: Solve for x
    x = 779,242.86/1,026.17
  6. Step 6: Final answer
    x = 759.37

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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.