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Finding the Fourth Proportional to 1,008.35, 1,512.14 and 391.98

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Solution

The fourth proportional to 1,008.35, 1,512.14 and 391.98 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.35 : 1,512.14 = 391.98 : x
  2. Step 2: Convert to fraction form
    1,008.35/1,512.14 = 391.98/x
  3. Step 3: Cross multiply
    1,008.35x = 1,512.14 × 391.98
  4. Step 4: Simplify right side
    1,008.35x = 592,723.95
  5. Step 5: Solve for x
    x = 592,723.95/1,008.35
  6. Step 6: Final answer
    x = 587.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.