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Finding the Fourth Proportional to 922.56, 1,273 and 590.88

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Solution

The fourth proportional to 922.56, 1,273 and 590.88 is: 815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.56 : 1,273 = 590.88 : x
  2. Step 2: Convert to fraction form
    922.56/1,273 = 590.88/x
  3. Step 3: Cross multiply
    922.56x = 1,273 × 590.88
  4. Step 4: Simplify right side
    922.56x = 752,190.24
  5. Step 5: Solve for x
    x = 752,190.24/922.56
  6. Step 6: Final answer
    x = 815.33

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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.