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Finding the Fourth Proportional to 1,008.76, 1,512.84 and 392.32

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Solution

The fourth proportional to 1,008.76, 1,512.84 and 392.32 is: 588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.76 : 1,512.84 = 392.32 : x
  2. Step 2: Convert to fraction form
    1,008.76/1,512.84 = 392.32/x
  3. Step 3: Cross multiply
    1,008.76x = 1,512.84 × 392.32
  4. Step 4: Simplify right side
    1,008.76x = 593,517.39
  5. Step 5: Solve for x
    x = 593,517.39/1,008.76
  6. Step 6: Final answer
    x = 588.36

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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.