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Finding the Fourth Proportional to 1,054.52, 1,582.02 and 324.20

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Solution

The fourth proportional to 1,054.52, 1,582.02 and 324.20 is: 486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.52 : 1,582.02 = 324.20 : x
  2. Step 2: Convert to fraction form
    1,054.52/1,582.02 = 324.20/x
  3. Step 3: Cross multiply
    1,054.52x = 1,582.02 × 324.20
  4. Step 4: Simplify right side
    1,054.52x = 512,890.88
  5. Step 5: Solve for x
    x = 512,890.88/1,054.52
  6. Step 6: Final answer
    x = 486.37

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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.