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Finding the Fourth Proportional to 944.33, 1,303.29 and 723.20

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Solution

The fourth proportional to 944.33, 1,303.29 and 723.20 is: 998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.33 : 1,303.29 = 723.20 : x
  2. Step 2: Convert to fraction form
    944.33/1,303.29 = 723.20/x
  3. Step 3: Cross multiply
    944.33x = 1,303.29 × 723.20
  4. Step 4: Simplify right side
    944.33x = 942,532.81
  5. Step 5: Solve for x
    x = 942,532.81/944.33
  6. Step 6: Final answer
    x = 998.10

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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.