Home / 1,054.02-1,581.27-323.70

Finding the Fourth Proportional to 1,054.02, 1,581.27 and 323.70

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Solution

The fourth proportional to 1,054.02, 1,581.27 and 323.70 is: 485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.02 : 1,581.27 = 323.70 : x
  2. Step 2: Convert to fraction form
    1,054.02/1,581.27 = 323.70/x
  3. Step 3: Cross multiply
    1,054.02x = 1,581.27 × 323.70
  4. Step 4: Simplify right side
    1,054.02x = 511,857.10
  5. Step 5: Solve for x
    x = 511,857.10/1,054.02
  6. Step 6: Final answer
    x = 485.62

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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.