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Finding the Fourth Proportional to 1,053.91, 1,580.87 and 323.49

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Solution

The fourth proportional to 1,053.91, 1,580.87 and 323.49 is: 485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.91 : 1,580.87 = 323.49 : x
  2. Step 2: Convert to fraction form
    1,053.91/1,580.87 = 323.49/x
  3. Step 3: Cross multiply
    1,053.91x = 1,580.87 × 323.49
  4. Step 4: Simplify right side
    1,053.91x = 511,400.55
  5. Step 5: Solve for x
    x = 511,400.55/1,053.91
  6. Step 6: Final answer
    x = 485.24

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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.