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Finding the Fourth Proportional to 1,049.10, 1,447.91 and 601.11

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Solution

The fourth proportional to 1,049.10, 1,447.91 and 601.11 is: 829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.10 : 1,447.91 = 601.11 : x
  2. Step 2: Convert to fraction form
    1,049.10/1,447.91 = 601.11/x
  3. Step 3: Cross multiply
    1,049.10x = 1,447.91 × 601.11
  4. Step 4: Simplify right side
    1,049.10x = 870,350.17
  5. Step 5: Solve for x
    x = 870,350.17/1,049.10
  6. Step 6: Final answer
    x = 829.62

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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.