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Finding the Fourth Proportional to 1,077.32, 1,486.22 and 657.34

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Solution

The fourth proportional to 1,077.32, 1,486.22 and 657.34 is: 906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.32 : 1,486.22 = 657.34 : x
  2. Step 2: Convert to fraction form
    1,077.32/1,486.22 = 657.34/x
  3. Step 3: Cross multiply
    1,077.32x = 1,486.22 × 657.34
  4. Step 4: Simplify right side
    1,077.32x = 976,944.85
  5. Step 5: Solve for x
    x = 976,944.85/1,077.32
  6. Step 6: Final answer
    x = 906.83

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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.