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Finding the Fourth Proportional to 1,189.25, 1,783.68 and 398.52

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Solution

The fourth proportional to 1,189.25, 1,783.68 and 398.52 is: 597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.25 : 1,783.68 = 398.52 : x
  2. Step 2: Convert to fraction form
    1,189.25/1,783.68 = 398.52/x
  3. Step 3: Cross multiply
    1,189.25x = 1,783.68 × 398.52
  4. Step 4: Simplify right side
    1,189.25x = 710,832.15
  5. Step 5: Solve for x
    x = 710,832.15/1,189.25
  6. Step 6: Final answer
    x = 597.71

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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.