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Finding the Fourth Proportional to 1,189.47, 1,783.65 and 696.02

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Solution

The fourth proportional to 1,189.47, 1,783.65 and 696.02 is: 1,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.47 : 1,783.65 = 696.02 : x
  2. Step 2: Convert to fraction form
    1,189.47/1,783.65 = 696.02/x
  3. Step 3: Cross multiply
    1,189.47x = 1,783.65 × 696.02
  4. Step 4: Simplify right side
    1,189.47x = 1,241,456.07
  5. Step 5: Solve for x
    x = 1,241,456.07/1,189.47
  6. Step 6: Final answer
    x = 1,043.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.