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Finding the Fourth Proportional to 1,049.14, 1,447.72 and 607.07

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Solution

The fourth proportional to 1,049.14, 1,447.72 and 607.07 is: 837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.14 : 1,447.72 = 607.07 : x
  2. Step 2: Convert to fraction form
    1,049.14/1,447.72 = 607.07/x
  3. Step 3: Cross multiply
    1,049.14x = 1,447.72 × 607.07
  4. Step 4: Simplify right side
    1,049.14x = 878,860.16
  5. Step 5: Solve for x
    x = 878,860.16/1,049.14
  6. Step 6: Final answer
    x = 837.70

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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.