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Finding the Fourth Proportional to 755.86, 1,042.56 and 490.42

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Solution

The fourth proportional to 755.86, 1,042.56 and 490.42 is: 676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.86 : 1,042.56 = 490.42 : x
  2. Step 2: Convert to fraction form
    755.86/1,042.56 = 490.42/x
  3. Step 3: Cross multiply
    755.86x = 1,042.56 × 490.42
  4. Step 4: Simplify right side
    755.86x = 511,292.28
  5. Step 5: Solve for x
    x = 511,292.28/755.86
  6. Step 6: Final answer
    x = 676.44

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Half scale
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Double scale
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1.5x scale

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.