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Finding the Fourth Proportional to 1,008.07, 1,512.09 and 358.81

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Solution

The fourth proportional to 1,008.07, 1,512.09 and 358.81 is: 538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.07 : 1,512.09 = 358.81 : x
  2. Step 2: Convert to fraction form
    1,008.07/1,512.09 = 358.81/x
  3. Step 3: Cross multiply
    1,008.07x = 1,512.09 × 358.81
  4. Step 4: Simplify right side
    1,008.07x = 542,553.01
  5. Step 5: Solve for x
    x = 542,553.01/1,008.07
  6. Step 6: Final answer
    x = 538.21

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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.