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Finding the Fourth Proportional to 1,273.56, 1,757.51 and 742.76

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Solution

The fourth proportional to 1,273.56, 1,757.51 and 742.76 is: 1,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.56 : 1,757.51 = 742.76 : x
  2. Step 2: Convert to fraction form
    1,273.56/1,757.51 = 742.76/x
  3. Step 3: Cross multiply
    1,273.56x = 1,757.51 × 742.76
  4. Step 4: Simplify right side
    1,273.56x = 1,305,395.63
  5. Step 5: Solve for x
    x = 1,305,395.63/1,273.56
  6. Step 6: Final answer
    x = 1,025.00

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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.