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Finding the Fourth Proportional to 1,049.00, 1,448.69 and 841.91

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Solution

The fourth proportional to 1,049.00, 1,448.69 and 841.91 is: 1,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.00 : 1,448.69 = 841.91 : x
  2. Step 2: Convert to fraction form
    1,049.00/1,448.69 = 841.91/x
  3. Step 3: Cross multiply
    1,049.00x = 1,448.69 × 841.91
  4. Step 4: Simplify right side
    1,049.00x = 1,219,655.14
  5. Step 5: Solve for x
    x = 1,219,655.14/1,049.00
  6. Step 6: Final answer
    x = 1,162.69

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