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Finding the Fourth Proportional to 1,049.07, 1,447.59 and 607.11

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Solution

The fourth proportional to 1,049.07, 1,447.59 and 607.11 is: 837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.07 : 1,447.59 = 607.11 : x
  2. Step 2: Convert to fraction form
    1,049.07/1,447.59 = 607.11/x
  3. Step 3: Cross multiply
    1,049.07x = 1,447.59 × 607.11
  4. Step 4: Simplify right side
    1,049.07x = 878,846.36
  5. Step 5: Solve for x
    x = 878,846.36/1,049.07
  6. Step 6: Final answer
    x = 837.74

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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.