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Finding the Fourth Proportional to 1,053.57, 1,580.23 and 323.65

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Solution

The fourth proportional to 1,053.57, 1,580.23 and 323.65 is: 485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.57 : 1,580.23 = 323.65 : x
  2. Step 2: Convert to fraction form
    1,053.57/1,580.23 = 323.65/x
  3. Step 3: Cross multiply
    1,053.57x = 1,580.23 × 323.65
  4. Step 4: Simplify right side
    1,053.57x = 511,441.44
  5. Step 5: Solve for x
    x = 511,441.44/1,053.57
  6. Step 6: Final answer
    x = 485.44

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Why These Related Problems?

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