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Finding the Fourth Proportional to 1,253.14, 1,728.94 and 755.94

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Solution

The fourth proportional to 1,253.14, 1,728.94 and 755.94 is: 1,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.14 : 1,728.94 = 755.94 : x
  2. Step 2: Convert to fraction form
    1,253.14/1,728.94 = 755.94/x
  3. Step 3: Cross multiply
    1,253.14x = 1,728.94 × 755.94
  4. Step 4: Simplify right side
    1,253.14x = 1,306,974.90
  5. Step 5: Solve for x
    x = 1,306,974.90/1,253.14
  6. Step 6: Final answer
    x = 1,042.96

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1.5x scale

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.