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Finding the Fourth Proportional to 1,189.87, 1,784.81 and 324.16

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Solution

The fourth proportional to 1,189.87, 1,784.81 and 324.16 is: 486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.87 : 1,784.81 = 324.16 : x
  2. Step 2: Convert to fraction form
    1,189.87/1,784.81 = 324.16/x
  3. Step 3: Cross multiply
    1,189.87x = 1,784.81 × 324.16
  4. Step 4: Simplify right side
    1,189.87x = 578,564.01
  5. Step 5: Solve for x
    x = 578,564.01/1,189.87
  6. Step 6: Final answer
    x = 486.24

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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.