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Finding the Fourth Proportional to 1,189.38, 1,783.06 and 459.47

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Solution

The fourth proportional to 1,189.38, 1,783.06 and 459.47 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.38 : 1,783.06 = 459.47 : x
  2. Step 2: Convert to fraction form
    1,189.38/1,783.06 = 459.47/x
  3. Step 3: Cross multiply
    1,189.38x = 1,783.06 × 459.47
  4. Step 4: Simplify right side
    1,189.38x = 819,268.47
  5. Step 5: Solve for x
    x = 819,268.47/1,189.38
  6. Step 6: Final answer
    x = 688.82

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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.