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Finding the Fourth Proportional to 1,191.05, 1,642.97 and 841.13

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Solution

The fourth proportional to 1,191.05, 1,642.97 and 841.13 is: 1,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.05 : 1,642.97 = 841.13 : x
  2. Step 2: Convert to fraction form
    1,191.05/1,642.97 = 841.13/x
  3. Step 3: Cross multiply
    1,191.05x = 1,642.97 × 841.13
  4. Step 4: Simplify right side
    1,191.05x = 1,381,945.24
  5. Step 5: Solve for x
    x = 1,381,945.24/1,191.05
  6. Step 6: Final answer
    x = 1,160.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.