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Finding the Fourth Proportional to 1,053.92, 1,580.83 and 323.44

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Solution

The fourth proportional to 1,053.92, 1,580.83 and 323.44 is: 485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.92 : 1,580.83 = 323.44 : x
  2. Step 2: Convert to fraction form
    1,053.92/1,580.83 = 323.44/x
  3. Step 3: Cross multiply
    1,053.92x = 1,580.83 × 323.44
  4. Step 4: Simplify right side
    1,053.92x = 511,298.89
  5. Step 5: Solve for x
    x = 511,298.89/1,053.92
  6. Step 6: Final answer
    x = 485.14

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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.