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Finding the Fourth Proportional to 1,189.40, 1,780.43 and 930.15

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Solution

The fourth proportional to 1,189.40, 1,780.43 and 930.15 is: 1,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.40 : 1,780.43 = 930.15 : x
  2. Step 2: Convert to fraction form
    1,189.40/1,780.43 = 930.15/x
  3. Step 3: Cross multiply
    1,189.40x = 1,780.43 × 930.15
  4. Step 4: Simplify right side
    1,189.40x = 1,656,062.31
  5. Step 5: Solve for x
    x = 1,656,062.31/1,189.40
  6. Step 6: Final answer
    x = 1,392.36

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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.