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Finding the Fourth Proportional to 1,164.82, 1,608.21 and 723.37

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Solution

The fourth proportional to 1,164.82, 1,608.21 and 723.37 is: 998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.82 : 1,608.21 = 723.37 : x
  2. Step 2: Convert to fraction form
    1,164.82/1,608.21 = 723.37/x
  3. Step 3: Cross multiply
    1,164.82x = 1,608.21 × 723.37
  4. Step 4: Simplify right side
    1,164.82x = 1,163,330.87
  5. Step 5: Solve for x
    x = 1,163,330.87/1,164.82
  6. Step 6: Final answer
    x = 998.72

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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.