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Finding the Fourth Proportional to 1,053.80, 1,580.59 and 323.31

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Solution

The fourth proportional to 1,053.80, 1,580.59 and 323.31 is: 484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.80 : 1,580.59 = 323.31 : x
  2. Step 2: Convert to fraction form
    1,053.80/1,580.59 = 323.31/x
  3. Step 3: Cross multiply
    1,053.80x = 1,580.59 × 323.31
  4. Step 4: Simplify right side
    1,053.80x = 511,020.55
  5. Step 5: Solve for x
    x = 511,020.55/1,053.80
  6. Step 6: Final answer
    x = 484.93

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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.