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Finding the Fourth Proportional to 1,189.92, 1,783.76 and 496.08

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Solution

The fourth proportional to 1,189.92, 1,783.76 and 496.08 is: 743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.92 : 1,783.76 = 496.08 : x
  2. Step 2: Convert to fraction form
    1,189.92/1,783.76 = 496.08/x
  3. Step 3: Cross multiply
    1,189.92x = 1,783.76 × 496.08
  4. Step 4: Simplify right side
    1,189.92x = 884,887.66
  5. Step 5: Solve for x
    x = 884,887.66/1,189.92
  6. Step 6: Final answer
    x = 743.65

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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.