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Finding the Fourth Proportional to 944.19, 1,302.48 and 594.63

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Solution

The fourth proportional to 944.19, 1,302.48 and 594.63 is: 820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.19 : 1,302.48 = 594.63 : x
  2. Step 2: Convert to fraction form
    944.19/1,302.48 = 594.63/x
  3. Step 3: Cross multiply
    944.19x = 1,302.48 × 594.63
  4. Step 4: Simplify right side
    944.19x = 774,493.68
  5. Step 5: Solve for x
    x = 774,493.68/944.19
  6. Step 6: Final answer
    x = 820.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.