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Finding the Fourth Proportional to 1,054.85, 1,582.52 and 324.41

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Solution

The fourth proportional to 1,054.85, 1,582.52 and 324.41 is: 486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.85 : 1,582.52 = 324.41 : x
  2. Step 2: Convert to fraction form
    1,054.85/1,582.52 = 324.41/x
  3. Step 3: Cross multiply
    1,054.85x = 1,582.52 × 324.41
  4. Step 4: Simplify right side
    1,054.85x = 513,375.78
  5. Step 5: Solve for x
    x = 513,375.78/1,054.85
  6. Step 6: Final answer
    x = 486.68

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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.