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Finding the Fourth Proportional to 1,049.88, 1,448.88 and 657

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Solution

The fourth proportional to 1,049.88, 1,448.88 and 657 is: 906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.88 : 1,448.88 = 657 : x
  2. Step 2: Convert to fraction form
    1,049.88/1,448.88 = 657/x
  3. Step 3: Cross multiply
    1,049.88x = 1,448.88 × 657
  4. Step 4: Simplify right side
    1,049.88x = 951,914.16
  5. Step 5: Solve for x
    x = 951,914.16/1,049.88
  6. Step 6: Final answer
    x = 906.69

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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.