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Finding the Fourth Proportional to 943.64, 1,301.88 and 594.32

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Solution

The fourth proportional to 943.64, 1,301.88 and 594.32 is: 819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.64 : 1,301.88 = 594.32 : x
  2. Step 2: Convert to fraction form
    943.64/1,301.88 = 594.32/x
  3. Step 3: Cross multiply
    943.64x = 1,301.88 × 594.32
  4. Step 4: Simplify right side
    943.64x = 773,733.32
  5. Step 5: Solve for x
    x = 773,733.32/943.64
  6. Step 6: Final answer
    x = 819.95

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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.