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Finding the Fourth Proportional to 1,076.78, 1,486.06 and 657.08

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Solution

The fourth proportional to 1,076.78, 1,486.06 and 657.08 is: 906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.78 : 1,486.06 = 657.08 : x
  2. Step 2: Convert to fraction form
    1,076.78/1,486.06 = 657.08/x
  3. Step 3: Cross multiply
    1,076.78x = 1,486.06 × 657.08
  4. Step 4: Simplify right side
    1,076.78x = 976,460.30
  5. Step 5: Solve for x
    x = 976,460.30/1,076.78
  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.