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Finding the Fourth Proportional to 1,008.37, 1,512.31 and 391.68

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Solution

The fourth proportional to 1,008.37, 1,512.31 and 391.68 is: 587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.37 : 1,512.31 = 391.68 : x
  2. Step 2: Convert to fraction form
    1,008.37/1,512.31 = 391.68/x
  3. Step 3: Cross multiply
    1,008.37x = 1,512.31 × 391.68
  4. Step 4: Simplify right side
    1,008.37x = 592,341.58
  5. Step 5: Solve for x
    x = 592,341.58/1,008.37
  6. Step 6: Final answer
    x = 587.42

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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.