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Finding the Fourth Proportional to 913.44, 1,259.28 and 727.56

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Solution

The fourth proportional to 913.44, 1,259.28 and 727.56 is: 1,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.44 : 1,259.28 = 727.56 : x
  2. Step 2: Convert to fraction form
    913.44/1,259.28 = 727.56/x
  3. Step 3: Cross multiply
    913.44x = 1,259.28 × 727.56
  4. Step 4: Simplify right side
    913.44x = 916,201.76
  5. Step 5: Solve for x
    x = 916,201.76/913.44
  6. Step 6: Final answer
    x = 1,003.02

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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.