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Finding the Fourth Proportional to 1,189.73, 1,784.60 and 324.04

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Solution

The fourth proportional to 1,189.73, 1,784.60 and 324.04 is: 486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.73 : 1,784.60 = 324.04 : x
  2. Step 2: Convert to fraction form
    1,189.73/1,784.60 = 324.04/x
  3. Step 3: Cross multiply
    1,189.73x = 1,784.60 × 324.04
  4. Step 4: Simplify right side
    1,189.73x = 578,281.78
  5. Step 5: Solve for x
    x = 578,281.78/1,189.73
  6. Step 6: Final answer
    x = 486.06

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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.