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Finding the Fourth Proportional to 1,018.01, 1,524 and 759.14

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Solution

The fourth proportional to 1,018.01, 1,524 and 759.14 is: 1,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.01 : 1,524 = 759.14 : x
  2. Step 2: Convert to fraction form
    1,018.01/1,524 = 759.14/x
  3. Step 3: Cross multiply
    1,018.01x = 1,524 × 759.14
  4. Step 4: Simplify right side
    1,018.01x = 1,156,929.36
  5. Step 5: Solve for x
    x = 1,156,929.36/1,018.01
  6. Step 6: Final answer
    x = 1,136.47

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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.