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Finding the Fourth Proportional to 1,082.93, 1,494.46 and 657.44

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Solution

The fourth proportional to 1,082.93, 1,494.46 and 657.44 is: 907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.93 : 1,494.46 = 657.44 : x
  2. Step 2: Convert to fraction form
    1,082.93/1,494.46 = 657.44/x
  3. Step 3: Cross multiply
    1,082.93x = 1,494.46 × 657.44
  4. Step 4: Simplify right side
    1,082.93x = 982,514.63
  5. Step 5: Solve for x
    x = 982,514.63/1,082.93
  6. Step 6: Final answer
    x = 907.27

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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.