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Finding the Fourth Proportional to 1,189.74, 1,784.60 and 324.05

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Solution

The fourth proportional to 1,189.74, 1,784.60 and 324.05 is: 486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.74 : 1,784.60 = 324.05 : x
  2. Step 2: Convert to fraction form
    1,189.74/1,784.60 = 324.05/x
  3. Step 3: Cross multiply
    1,189.74x = 1,784.60 × 324.05
  4. Step 4: Simplify right side
    1,189.74x = 578,299.63
  5. Step 5: Solve for x
    x = 578,299.63/1,189.74
  6. Step 6: Final answer
    x = 486.07

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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.