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Finding the Fourth Proportional to 1,187.79, 1,780.21 and 841.22

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Solution

The fourth proportional to 1,187.79, 1,780.21 and 841.22 is: 1,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.79 : 1,780.21 = 841.22 : x
  2. Step 2: Convert to fraction form
    1,187.79/1,780.21 = 841.22/x
  3. Step 3: Cross multiply
    1,187.79x = 1,780.21 × 841.22
  4. Step 4: Simplify right side
    1,187.79x = 1,497,548.26
  5. Step 5: Solve for x
    x = 1,497,548.26/1,187.79
  6. Step 6: Final answer
    x = 1,260.79

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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.