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Finding the Fourth Proportional to 1,230.46, 1,695.20 and 1,010.81

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Solution

The fourth proportional to 1,230.46, 1,695.20 and 1,010.81 is: 1,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.46 : 1,695.20 = 1,010.81 : x
  2. Step 2: Convert to fraction form
    1,230.46/1,695.20 = 1,010.81/x
  3. Step 3: Cross multiply
    1,230.46x = 1,695.20 × 1,010.81
  4. Step 4: Simplify right side
    1,230.46x = 1,713,524.30
  5. Step 5: Solve for x
    x = 1,713,524.30/1,230.46
  6. Step 6: Final answer
    x = 1,392.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.