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Finding the Fourth Proportional to 1,054, 1,580.97 and 323.47

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Solution

The fourth proportional to 1,054, 1,580.97 and 323.47 is: 485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054 : 1,580.97 = 323.47 : x
  2. Step 2: Convert to fraction form
    1,054/1,580.97 = 323.47/x
  3. Step 3: Cross multiply
    1,054x = 1,580.97 × 323.47
  4. Step 4: Simplify right side
    1,054x = 511,396.37
  5. Step 5: Solve for x
    x = 511,396.37/1,054
  6. Step 6: Final answer
    x = 485.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.