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Finding the Fourth Proportional to 944.10, 1,302.33 and 594.18

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Solution

The fourth proportional to 944.10, 1,302.33 and 594.18 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.10 : 1,302.33 = 594.18 : x
  2. Step 2: Convert to fraction form
    944.10/1,302.33 = 594.18/x
  3. Step 3: Cross multiply
    944.10x = 1,302.33 × 594.18
  4. Step 4: Simplify right side
    944.10x = 773,818.44
  5. Step 5: Solve for x
    x = 773,818.44/944.10
  6. Step 6: Final answer
    x = 819.64

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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.