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Finding the Fourth Proportional to 1,012.32, 1,402.98 and 996.96

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Solution

The fourth proportional to 1,012.32, 1,402.98 and 996.96 is: 1,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.32 : 1,402.98 = 996.96 : x
  2. Step 2: Convert to fraction form
    1,012.32/1,402.98 = 996.96/x
  3. Step 3: Cross multiply
    1,012.32x = 1,402.98 × 996.96
  4. Step 4: Simplify right side
    1,012.32x = 1,398,714.94
  5. Step 5: Solve for x
    x = 1,398,714.94/1,012.32
  6. Step 6: Final answer
    x = 1,381.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.