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Finding the Fourth Proportional to 1,189.86, 1,784.80 and 324.17

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Solution

The fourth proportional to 1,189.86, 1,784.80 and 324.17 is: 486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.86 : 1,784.80 = 324.17 : x
  2. Step 2: Convert to fraction form
    1,189.86/1,784.80 = 324.17/x
  3. Step 3: Cross multiply
    1,189.86x = 1,784.80 × 324.17
  4. Step 4: Simplify right side
    1,189.86x = 578,582.27
  5. Step 5: Solve for x
    x = 578,582.27/1,189.86
  6. Step 6: Final answer
    x = 486.26

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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.